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Finding the Third Proportional to 59,012 and 88,742

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Solution

The third proportional to 59,012 and 88,742 is: 133,449.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,012 : 88,742 = 88,742 : x
  2. Step 2: Convert to fraction form
    59,012/88,742 = 88,742/x
  3. Step 3: Cross multiply
    59,012x = 88,742 × 88,742
  4. Step 4: Simplify right side
    59,012x = 7,875,142,564
  5. Step 5: Solve for x
    x = 7,875,142,564/59,012
  6. Step 6: Final answer
    x = 133,449.85

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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.