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Finding the Third Proportional to 103,609.13 and 137,524.71

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Solution

The third proportional to 103,609.13 and 137,524.71 is: 182,542.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,609.13 : 137,524.71 = 137,524.71 : x
  2. Step 2: Convert to fraction form
    103,609.13/137,524.71 = 137,524.71/x
  3. Step 3: Cross multiply
    103,609.13x = 137,524.71 × 137,524.71
  4. Step 4: Simplify right side
    103,609.13x = 18,913,046,118.44
  5. Step 5: Solve for x
    x = 18,913,046,118.44/103,609.13
  6. Step 6: Final answer
    x = 182,542.28

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.