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Finding the Third Proportional to 63,338 and 95,427

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Solution

The third proportional to 63,338 and 95,427 is: 143,773.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,338 : 95,427 = 95,427 : x
  2. Step 2: Convert to fraction form
    63,338/95,427 = 95,427/x
  3. Step 3: Cross multiply
    63,338x = 95,427 × 95,427
  4. Step 4: Simplify right side
    63,338x = 9,106,312,329
  5. Step 5: Solve for x
    x = 9,106,312,329/63,338
  6. Step 6: Final answer
    x = 143,773.29

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.