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Finding the Third Proportional to 48,771 and 71,298

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Solution

The third proportional to 48,771 and 71,298 is: 104,230.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,771 : 71,298 = 71,298 : x
  2. Step 2: Convert to fraction form
    48,771/71,298 = 71,298/x
  3. Step 3: Cross multiply
    48,771x = 71,298 × 71,298
  4. Step 4: Simplify right side
    48,771x = 5,083,404,804
  5. Step 5: Solve for x
    x = 5,083,404,804/48,771
  6. Step 6: Final answer
    x = 104,230.07

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.