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Finding the Third Proportional to 63,384 and 136,800

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Solution

The third proportional to 63,384 and 136,800 is: 295,251.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,384 : 136,800 = 136,800 : x
  2. Step 2: Convert to fraction form
    63,384/136,800 = 136,800/x
  3. Step 3: Cross multiply
    63,384x = 136,800 × 136,800
  4. Step 4: Simplify right side
    63,384x = 18,714,240,000
  5. Step 5: Solve for x
    x = 18,714,240,000/63,384
  6. Step 6: Final answer
    x = 295,251.80

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.