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Finding the Third Proportional to 126,287 and 195,060

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Solution

The third proportional to 126,287 and 195,060 is: 301,285.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,287 : 195,060 = 195,060 : x
  2. Step 2: Convert to fraction form
    126,287/195,060 = 195,060/x
  3. Step 3: Cross multiply
    126,287x = 195,060 × 195,060
  4. Step 4: Simplify right side
    126,287x = 38,048,403,600
  5. Step 5: Solve for x
    x = 38,048,403,600/126,287
  6. Step 6: Final answer
    x = 301,285.20

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.