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Finding the Third Proportional to 59,742 and 91,695

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Solution

The third proportional to 59,742 and 91,695 is: 140,738.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,742 : 91,695 = 91,695 : x
  2. Step 2: Convert to fraction form
    59,742/91,695 = 91,695/x
  3. Step 3: Cross multiply
    59,742x = 91,695 × 91,695
  4. Step 4: Simplify right side
    59,742x = 8,407,973,025
  5. Step 5: Solve for x
    x = 8,407,973,025/59,742
  6. Step 6: Final answer
    x = 140,738.06

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.