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Finding the Third Proportional to 137,062.13 and 205,593.19

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Solution

The third proportional to 137,062.13 and 205,593.19 is: 308,389.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,062.13 : 205,593.19 = 205,593.19 : x
  2. Step 2: Convert to fraction form
    137,062.13/205,593.19 = 205,593.19/x
  3. Step 3: Cross multiply
    137,062.13x = 205,593.19 × 205,593.19
  4. Step 4: Simplify right side
    137,062.13x = 42,268,558,746.41
  5. Step 5: Solve for x
    x = 42,268,558,746.41/137,062.13
  6. Step 6: Final answer
    x = 308,389.78

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