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Finding the Third Proportional to 49,123.97 and 106,092.28

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Solution

The third proportional to 49,123.97 and 106,092.28 is: 229,125.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,123.97 : 106,092.28 = 106,092.28 : x
  2. Step 2: Convert to fraction form
    49,123.97/106,092.28 = 106,092.28/x
  3. Step 3: Cross multiply
    49,123.97x = 106,092.28 × 106,092.28
  4. Step 4: Simplify right side
    49,123.97x = 11,255,572,140.83
  5. Step 5: Solve for x
    x = 11,255,572,140.83/49,123.97
  6. Step 6: Final answer
    x = 229,125.87

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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.