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Finding the Third Proportional to 65,475 and 126,987

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Solution

The third proportional to 65,475 and 126,987 is: 246,287.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,475 : 126,987 = 126,987 : x
  2. Step 2: Convert to fraction form
    65,475/126,987 = 126,987/x
  3. Step 3: Cross multiply
    65,475x = 126,987 × 126,987
  4. Step 4: Simplify right side
    65,475x = 16,125,698,169
  5. Step 5: Solve for x
    x = 16,125,698,169/65,475
  6. Step 6: Final answer
    x = 246,287.87

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Why These Related Problems?

These problems maintain the same ratio (1.94) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.