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Finding the Third Proportional to 91,448 and 137,171

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Solution

The third proportional to 91,448 and 137,171 is: 205,755.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,448 : 137,171 = 137,171 : x
  2. Step 2: Convert to fraction form
    91,448/137,171 = 137,171/x
  3. Step 3: Cross multiply
    91,448x = 137,171 × 137,171
  4. Step 4: Simplify right side
    91,448x = 18,815,883,241
  5. Step 5: Solve for x
    x = 18,815,883,241/91,448
  6. Step 6: Final answer
    x = 205,755.00

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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.