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Finding the Third Proportional to 47,674 and 70,134

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Solution

The third proportional to 47,674 and 70,134 is: 103,175.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,674 : 70,134 = 70,134 : x
  2. Step 2: Convert to fraction form
    47,674/70,134 = 70,134/x
  3. Step 3: Cross multiply
    47,674x = 70,134 × 70,134
  4. Step 4: Simplify right side
    47,674x = 4,918,777,956
  5. Step 5: Solve for x
    x = 4,918,777,956/47,674
  6. Step 6: Final answer
    x = 103,175.27

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.