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Finding the Third Proportional to 137,062.17 and 205,593.26

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Solution

The third proportional to 137,062.17 and 205,593.26 is: 308,389.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,062.17 : 205,593.26 = 205,593.26 : x
  2. Step 2: Convert to fraction form
    137,062.17/205,593.26 = 205,593.26/x
  3. Step 3: Cross multiply
    137,062.17x = 205,593.26 × 205,593.26
  4. Step 4: Simplify right side
    137,062.17x = 42,268,587,657.96
  5. Step 5: Solve for x
    x = 42,268,587,657.96/137,062.17
  6. Step 6: Final answer
    x = 308,389.89

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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.