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Finding the Third Proportional to 47,166 and 70,743

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Solution

The third proportional to 47,166 and 70,743 is: 106,105.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,166 : 70,743 = 70,743 : x
  2. Step 2: Convert to fraction form
    47,166/70,743 = 70,743/x
  3. Step 3: Cross multiply
    47,166x = 70,743 × 70,743
  4. Step 4: Simplify right side
    47,166x = 5,004,572,049
  5. Step 5: Solve for x
    x = 5,004,572,049/47,166
  6. Step 6: Final answer
    x = 106,105.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.