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Finding the Third Proportional to 59,100 and 126,501

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Solution

The third proportional to 59,100 and 126,501 is: 270,769.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,100 : 126,501 = 126,501 : x
  2. Step 2: Convert to fraction form
    59,100/126,501 = 126,501/x
  3. Step 3: Cross multiply
    59,100x = 126,501 × 126,501
  4. Step 4: Simplify right side
    59,100x = 16,002,503,001
  5. Step 5: Solve for x
    x = 16,002,503,001/59,100
  6. Step 6: Final answer
    x = 270,769.93

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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.