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Finding the Third Proportional to 48,685 and 106,381

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Solution

The third proportional to 48,685 and 106,381 is: 232,451.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,685 : 106,381 = 106,381 : x
  2. Step 2: Convert to fraction form
    48,685/106,381 = 106,381/x
  3. Step 3: Cross multiply
    48,685x = 106,381 × 106,381
  4. Step 4: Simplify right side
    48,685x = 11,316,917,161
  5. Step 5: Solve for x
    x = 11,316,917,161/48,685
  6. Step 6: Final answer
    x = 232,451.83

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.