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Finding the Third Proportional to 48,486 and 101,386

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Solution

The third proportional to 48,486 and 101,386 is: 212,001.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,486 : 101,386 = 101,386 : x
  2. Step 2: Convert to fraction form
    48,486/101,386 = 101,386/x
  3. Step 3: Cross multiply
    48,486x = 101,386 × 101,386
  4. Step 4: Simplify right side
    48,486x = 10,279,120,996
  5. Step 5: Solve for x
    x = 10,279,120,996/48,486
  6. Step 6: Final answer
    x = 212,001.84

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.