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Finding the Third Proportional to 48,107 and 102,748

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Solution

The third proportional to 48,107 and 102,748 is: 219,451.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,107 : 102,748 = 102,748 : x
  2. Step 2: Convert to fraction form
    48,107/102,748 = 102,748/x
  3. Step 3: Cross multiply
    48,107x = 102,748 × 102,748
  4. Step 4: Simplify right side
    48,107x = 10,557,151,504
  5. Step 5: Solve for x
    x = 10,557,151,504/48,107
  6. Step 6: Final answer
    x = 219,451.46

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.