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Finding the Third Proportional to 75,188.25 and 160,130.25

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Solution

The third proportional to 75,188.25 and 160,130.25 is: 341,033.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,188.25 : 160,130.25 = 160,130.25 : x
  2. Step 2: Convert to fraction form
    75,188.25/160,130.25 = 160,130.25/x
  3. Step 3: Cross multiply
    75,188.25x = 160,130.25 × 160,130.25
  4. Step 4: Simplify right side
    75,188.25x = 25,641,696,965.06
  5. Step 5: Solve for x
    x = 25,641,696,965.06/75,188.25
  6. Step 6: Final answer
    x = 341,033.30

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.