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Finding the Third Proportional to 48,902 and 71,046

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Solution

The third proportional to 48,902 and 71,046 is: 103,217.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,902 : 71,046 = 71,046 : x
  2. Step 2: Convert to fraction form
    48,902/71,046 = 71,046/x
  3. Step 3: Cross multiply
    48,902x = 71,046 × 71,046
  4. Step 4: Simplify right side
    48,902x = 5,047,534,116
  5. Step 5: Solve for x
    x = 5,047,534,116/48,902
  6. Step 6: Final answer
    x = 103,217.33

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.