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Finding the Third Proportional to 48,484 and 101,382

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Solution

The third proportional to 48,484 and 101,382 is: 211,993.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,484 : 101,382 = 101,382 : x
  2. Step 2: Convert to fraction form
    48,484/101,382 = 101,382/x
  3. Step 3: Cross multiply
    48,484x = 101,382 × 101,382
  4. Step 4: Simplify right side
    48,484x = 10,278,309,924
  5. Step 5: Solve for x
    x = 10,278,309,924/48,484
  6. Step 6: Final answer
    x = 211,993.85

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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.