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Finding the Third Proportional to 59,046 and 88,713

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Solution

The third proportional to 59,046 and 88,713 is: 133,285.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,046 : 88,713 = 88,713 : x
  2. Step 2: Convert to fraction form
    59,046/88,713 = 88,713/x
  3. Step 3: Cross multiply
    59,046x = 88,713 × 88,713
  4. Step 4: Simplify right side
    59,046x = 7,869,996,369
  5. Step 5: Solve for x
    x = 7,869,996,369/59,046
  6. Step 6: Final answer
    x = 133,285.85

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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.