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Finding the Third Proportional to 59,100 and 126,502

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Solution

The third proportional to 59,100 and 126,502 is: 270,774.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,100 : 126,502 = 126,502 : x
  2. Step 2: Convert to fraction form
    59,100/126,502 = 126,502/x
  3. Step 3: Cross multiply
    59,100x = 126,502 × 126,502
  4. Step 4: Simplify right side
    59,100x = 16,002,756,004
  5. Step 5: Solve for x
    x = 16,002,756,004/59,100
  6. Step 6: Final answer
    x = 270,774.21

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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.