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Finding the Third Proportional to 49,952 and 106,262

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Solution

The third proportional to 49,952 and 106,262 is: 226,049.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,952 : 106,262 = 106,262 : x
  2. Step 2: Convert to fraction form
    49,952/106,262 = 106,262/x
  3. Step 3: Cross multiply
    49,952x = 106,262 × 106,262
  4. Step 4: Simplify right side
    49,952x = 11,291,612,644
  5. Step 5: Solve for x
    x = 11,291,612,644/49,952
  6. Step 6: Final answer
    x = 226,049.26

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.