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Finding the Third Proportional to 48,864 and 103,464

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Solution

The third proportional to 48,864 and 103,464 is: 219,073.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,864 : 103,464 = 103,464 : x
  2. Step 2: Convert to fraction form
    48,864/103,464 = 103,464/x
  3. Step 3: Cross multiply
    48,864x = 103,464 × 103,464
  4. Step 4: Simplify right side
    48,864x = 10,704,799,296
  5. Step 5: Solve for x
    x = 10,704,799,296/48,864
  6. Step 6: Final answer
    x = 219,073.33

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.