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Finding the Third Proportional to 76,504.50 and 124,593.19

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Solution

The third proportional to 76,504.50 and 124,593.19 is: 202,909.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,504.50 : 124,593.19 = 124,593.19 : x
  2. Step 2: Convert to fraction form
    76,504.50/124,593.19 = 124,593.19/x
  3. Step 3: Cross multiply
    76,504.50x = 124,593.19 × 124,593.19
  4. Step 4: Simplify right side
    76,504.50x = 15,523,462,371.41
  5. Step 5: Solve for x
    x = 15,523,462,371.41/76,504.50
  6. Step 6: Final answer
    x = 202,909.14

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.