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Finding the Third Proportional to 124,618.13 and 186,880.31

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Solution

The third proportional to 124,618.13 and 186,880.31 is: 280,250.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,618.13 : 186,880.31 = 186,880.31 : x
  2. Step 2: Convert to fraction form
    124,618.13/186,880.31 = 186,880.31/x
  3. Step 3: Cross multiply
    124,618.13x = 186,880.31 × 186,880.31
  4. Step 4: Simplify right side
    124,618.13x = 34,924,251,200.10
  5. Step 5: Solve for x
    x = 34,924,251,200.10/124,618.13
  6. Step 6: Final answer
    x = 280,250.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.