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Finding the Third Proportional to 70,451 and 110,001

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Solution

The third proportional to 70,451 and 110,001 is: 171,753.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,451 : 110,001 = 110,001 : x
  2. Step 2: Convert to fraction form
    70,451/110,001 = 110,001/x
  3. Step 3: Cross multiply
    70,451x = 110,001 × 110,001
  4. Step 4: Simplify right side
    70,451x = 12,100,220,001
  5. Step 5: Solve for x
    x = 12,100,220,001/70,451
  6. Step 6: Final answer
    x = 171,753.70

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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.