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Finding the Third Proportional to 49,442 and 106,657

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Solution

The third proportional to 49,442 and 106,657 is: 230,082.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,442 : 106,657 = 106,657 : x
  2. Step 2: Convert to fraction form
    49,442/106,657 = 106,657/x
  3. Step 3: Cross multiply
    49,442x = 106,657 × 106,657
  4. Step 4: Simplify right side
    49,442x = 11,375,715,649
  5. Step 5: Solve for x
    x = 11,375,715,649/49,442
  6. Step 6: Final answer
    x = 230,082.03

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.