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Finding the Third Proportional to 48,459 and 71,091

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Solution

The third proportional to 48,459 and 71,091 is: 104,292.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,459 : 71,091 = 71,091 : x
  2. Step 2: Convert to fraction form
    48,459/71,091 = 71,091/x
  3. Step 3: Cross multiply
    48,459x = 71,091 × 71,091
  4. Step 4: Simplify right side
    48,459x = 5,053,930,281
  5. Step 5: Solve for x
    x = 5,053,930,281/48,459
  6. Step 6: Final answer
    x = 104,292.91

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.