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Finding the Third Proportional to 91,002 and 137,776.13

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Solution

The third proportional to 91,002 and 137,776.13 is: 208,591.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,002 : 137,776.13 = 137,776.13 : x
  2. Step 2: Convert to fraction form
    91,002/137,776.13 = 137,776.13/x
  3. Step 3: Cross multiply
    91,002x = 137,776.13 × 137,776.13
  4. Step 4: Simplify right side
    91,002x = 18,982,260,620.02
  5. Step 5: Solve for x
    x = 18,982,260,620.02/91,002
  6. Step 6: Final answer
    x = 208,591.69

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.