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Finding the Third Proportional to 48,856 and 106,460

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Solution

The third proportional to 48,856 and 106,460 is: 231,982.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,856 : 106,460 = 106,460 : x
  2. Step 2: Convert to fraction form
    48,856/106,460 = 106,460/x
  3. Step 3: Cross multiply
    48,856x = 106,460 × 106,460
  4. Step 4: Simplify right side
    48,856x = 11,333,731,600
  5. Step 5: Solve for x
    x = 11,333,731,600/48,856
  6. Step 6: Final answer
    x = 231,982.39

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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.