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Finding the Third Proportional to 63,965 and 132,034

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Solution

The third proportional to 63,965 and 132,034 is: 272,539.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,965 : 132,034 = 132,034 : x
  2. Step 2: Convert to fraction form
    63,965/132,034 = 132,034/x
  3. Step 3: Cross multiply
    63,965x = 132,034 × 132,034
  4. Step 4: Simplify right side
    63,965x = 17,432,977,156
  5. Step 5: Solve for x
    x = 17,432,977,156/63,965
  6. Step 6: Final answer
    x = 272,539.31

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.