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Finding the Third Proportional to 91,652 and 137,720

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Solution

The third proportional to 91,652 and 137,720 is: 206,943.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,652 : 137,720 = 137,720 : x
  2. Step 2: Convert to fraction form
    91,652/137,720 = 137,720/x
  3. Step 3: Cross multiply
    91,652x = 137,720 × 137,720
  4. Step 4: Simplify right side
    91,652x = 18,966,798,400
  5. Step 5: Solve for x
    x = 18,966,798,400/91,652
  6. Step 6: Final answer
    x = 206,943.64

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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.