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Finding the Third Proportional to 59,220 and 126,880

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Solution

The third proportional to 59,220 and 126,880 is: 271,842.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,220 : 126,880 = 126,880 : x
  2. Step 2: Convert to fraction form
    59,220/126,880 = 126,880/x
  3. Step 3: Cross multiply
    59,220x = 126,880 × 126,880
  4. Step 4: Simplify right side
    59,220x = 16,098,534,400
  5. Step 5: Solve for x
    x = 16,098,534,400/59,220
  6. Step 6: Final answer
    x = 271,842.86

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.