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Finding the Third Proportional to 59,081 and 88,416

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Solution

The third proportional to 59,081 and 88,416 is: 132,316.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,081 : 88,416 = 88,416 : x
  2. Step 2: Convert to fraction form
    59,081/88,416 = 88,416/x
  3. Step 3: Cross multiply
    59,081x = 88,416 × 88,416
  4. Step 4: Simplify right side
    59,081x = 7,817,389,056
  5. Step 5: Solve for x
    x = 7,817,389,056/59,081
  6. Step 6: Final answer
    x = 132,316.46

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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.