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Finding the Third Proportional to 63,854 and 101,059

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Solution

The third proportional to 63,854 and 101,059 is: 159,941.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,854 : 101,059 = 101,059 : x
  2. Step 2: Convert to fraction form
    63,854/101,059 = 101,059/x
  3. Step 3: Cross multiply
    63,854x = 101,059 × 101,059
  4. Step 4: Simplify right side
    63,854x = 10,212,921,481
  5. Step 5: Solve for x
    x = 10,212,921,481/63,854
  6. Step 6: Final answer
    x = 159,941.77

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.