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Finding the Third Proportional to 48,703 and 106,339

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Solution

The third proportional to 48,703 and 106,339 is: 232,182.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,703 : 106,339 = 106,339 : x
  2. Step 2: Convert to fraction form
    48,703/106,339 = 106,339/x
  3. Step 3: Cross multiply
    48,703x = 106,339 × 106,339
  4. Step 4: Simplify right side
    48,703x = 11,307,982,921
  5. Step 5: Solve for x
    x = 11,307,982,921/48,703
  6. Step 6: Final answer
    x = 232,182.47

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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.