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Finding the Third Proportional to 71,024 and 110,416

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Solution

The third proportional to 71,024 and 110,416 is: 171,655.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,024 : 110,416 = 110,416 : x
  2. Step 2: Convert to fraction form
    71,024/110,416 = 110,416/x
  3. Step 3: Cross multiply
    71,024x = 110,416 × 110,416
  4. Step 4: Simplify right side
    71,024x = 12,191,693,056
  5. Step 5: Solve for x
    x = 12,191,693,056/71,024
  6. Step 6: Final answer
    x = 171,655.96

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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.