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Finding the Third Proportional to 70,593.75 and 137,641.13

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Solution

The third proportional to 70,593.75 and 137,641.13 is: 268,367.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,593.75 : 137,641.13 = 137,641.13 : x
  2. Step 2: Convert to fraction form
    70,593.75/137,641.13 = 137,641.13/x
  3. Step 3: Cross multiply
    70,593.75x = 137,641.13 × 137,641.13
  4. Step 4: Simplify right side
    70,593.75x = 18,945,079,291.27
  5. Step 5: Solve for x
    x = 18,945,079,291.27/70,593.75
  6. Step 6: Final answer
    x = 268,367.66

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These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.