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Finding the Third Proportional to 70,741 and 110,419

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Solution

The third proportional to 70,741 and 110,419 is: 172,352.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,741 : 110,419 = 110,419 : x
  2. Step 2: Convert to fraction form
    70,741/110,419 = 110,419/x
  3. Step 3: Cross multiply
    70,741x = 110,419 × 110,419
  4. Step 4: Simplify right side
    70,741x = 12,192,355,561
  5. Step 5: Solve for x
    x = 12,192,355,561/70,741
  6. Step 6: Final answer
    x = 172,352.04

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.