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Finding the Third Proportional to 63,850 and 130,868

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Solution

The third proportional to 63,850 and 130,868 is: 268,229.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,850 : 130,868 = 130,868 : x
  2. Step 2: Convert to fraction form
    63,850/130,868 = 130,868/x
  3. Step 3: Cross multiply
    63,850x = 130,868 × 130,868
  4. Step 4: Simplify right side
    63,850x = 17,126,433,424
  5. Step 5: Solve for x
    x = 17,126,433,424/63,850
  6. Step 6: Final answer
    x = 268,229.18

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.