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Finding the Third Proportional to 48,757 and 106,442

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Solution

The third proportional to 48,757 and 106,442 is: 232,374.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,757 : 106,442 = 106,442 : x
  2. Step 2: Convert to fraction form
    48,757/106,442 = 106,442/x
  3. Step 3: Cross multiply
    48,757x = 106,442 × 106,442
  4. Step 4: Simplify right side
    48,757x = 11,329,899,364
  5. Step 5: Solve for x
    x = 11,329,899,364/48,757
  6. Step 6: Final answer
    x = 232,374.83

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.