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Finding the Third Proportional to 124,587.28 and 186,842.53

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Solution

The third proportional to 124,587.28 and 186,842.53 is: 280,206.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,587.28 : 186,842.53 = 186,842.53 : x
  2. Step 2: Convert to fraction form
    124,587.28/186,842.53 = 186,842.53/x
  3. Step 3: Cross multiply
    124,587.28x = 186,842.53 × 186,842.53
  4. Step 4: Simplify right side
    124,587.28x = 34,910,131,483.91
  5. Step 5: Solve for x
    x = 34,910,131,483.91/124,587.28
  6. Step 6: Final answer
    x = 280,206.22

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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.