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Finding the Third Proportional to 49,202 and 69,042

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Solution

The third proportional to 49,202 and 69,042 is: 96,882.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,202 : 69,042 = 69,042 : x
  2. Step 2: Convert to fraction form
    49,202/69,042 = 69,042/x
  3. Step 3: Cross multiply
    49,202x = 69,042 × 69,042
  4. Step 4: Simplify right side
    49,202x = 4,766,797,764
  5. Step 5: Solve for x
    x = 4,766,797,764/49,202
  6. Step 6: Final answer
    x = 96,882.20

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.