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Finding the Third Proportional to 49,394 and 71,403

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Solution

The third proportional to 49,394 and 71,403 is: 103,218.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,394 : 71,403 = 71,403 : x
  2. Step 2: Convert to fraction form
    49,394/71,403 = 71,403/x
  3. Step 3: Cross multiply
    49,394x = 71,403 × 71,403
  4. Step 4: Simplify right side
    49,394x = 5,098,388,409
  5. Step 5: Solve for x
    x = 5,098,388,409/49,394
  6. Step 6: Final answer
    x = 103,218.78

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.