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Finding the Third Proportional to 59,306 and 91,729

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Solution

The third proportional to 59,306 and 91,729 is: 141,877.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,306 : 91,729 = 91,729 : x
  2. Step 2: Convert to fraction form
    59,306/91,729 = 91,729/x
  3. Step 3: Cross multiply
    59,306x = 91,729 × 91,729
  4. Step 4: Simplify right side
    59,306x = 8,414,209,441
  5. Step 5: Solve for x
    x = 8,414,209,441/59,306
  6. Step 6: Final answer
    x = 141,877.88

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.