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Finding the Third Proportional to 59,132 and 129,190

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Solution

The third proportional to 59,132 and 129,190 is: 282,250.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,132 : 129,190 = 129,190 : x
  2. Step 2: Convert to fraction form
    59,132/129,190 = 129,190/x
  3. Step 3: Cross multiply
    59,132x = 129,190 × 129,190
  4. Step 4: Simplify right side
    59,132x = 16,690,056,100
  5. Step 5: Solve for x
    x = 16,690,056,100/59,132
  6. Step 6: Final answer
    x = 282,250.83

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.