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Finding the Third Proportional to 71,018 and 110,403

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Solution

The third proportional to 71,018 and 110,403 is: 171,630.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,018 : 110,403 = 110,403 : x
  2. Step 2: Convert to fraction form
    71,018/110,403 = 110,403/x
  3. Step 3: Cross multiply
    71,018x = 110,403 × 110,403
  4. Step 4: Simplify right side
    71,018x = 12,188,822,409
  5. Step 5: Solve for x
    x = 12,188,822,409/71,018
  6. Step 6: Final answer
    x = 171,630.04

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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.