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Finding the Third Proportional to 71,222 and 110,718

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Solution

The third proportional to 71,222 and 110,718 is: 172,116.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,222 : 110,718 = 110,718 : x
  2. Step 2: Convert to fraction form
    71,222/110,718 = 110,718/x
  3. Step 3: Cross multiply
    71,222x = 110,718 × 110,718
  4. Step 4: Simplify right side
    71,222x = 12,258,475,524
  5. Step 5: Solve for x
    x = 12,258,475,524/71,222
  6. Step 6: Final answer
    x = 172,116.42

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.