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Finding the Third Proportional to 48,742 and 106,298

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Solution

The third proportional to 48,742 and 106,298 is: 231,817.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,742 : 106,298 = 106,298 : x
  2. Step 2: Convert to fraction form
    48,742/106,298 = 106,298/x
  3. Step 3: Cross multiply
    48,742x = 106,298 × 106,298
  4. Step 4: Simplify right side
    48,742x = 11,299,264,804
  5. Step 5: Solve for x
    x = 11,299,264,804/48,742
  6. Step 6: Final answer
    x = 231,817.83

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.