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Finding the Third Proportional to 125,880.75 and 190,653.75

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Solution

The third proportional to 125,880.75 and 190,653.75 is: 288,756.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,880.75 : 190,653.75 = 190,653.75 : x
  2. Step 2: Convert to fraction form
    125,880.75/190,653.75 = 190,653.75/x
  3. Step 3: Cross multiply
    125,880.75x = 190,653.75 × 190,653.75
  4. Step 4: Simplify right side
    125,880.75x = 36,348,852,389.06
  5. Step 5: Solve for x
    x = 36,348,852,389.06/125,880.75
  6. Step 6: Final answer
    x = 288,756.24

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.