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Finding the Third Proportional to 91,810 and 141,566

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Solution

The third proportional to 91,810 and 141,566 is: 218,287.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,810 : 141,566 = 141,566 : x
  2. Step 2: Convert to fraction form
    91,810/141,566 = 141,566/x
  3. Step 3: Cross multiply
    91,810x = 141,566 × 141,566
  4. Step 4: Simplify right side
    91,810x = 20,040,932,356
  5. Step 5: Solve for x
    x = 20,040,932,356/91,810
  6. Step 6: Final answer
    x = 218,287.03

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.