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Finding the Third Proportional to 50,031 and 70,366

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Solution

The third proportional to 50,031 and 70,366 is: 98,966.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,031 : 70,366 = 70,366 : x
  2. Step 2: Convert to fraction form
    50,031/70,366 = 70,366/x
  3. Step 3: Cross multiply
    50,031x = 70,366 × 70,366
  4. Step 4: Simplify right side
    50,031x = 4,951,373,956
  5. Step 5: Solve for x
    x = 4,951,373,956/50,031
  6. Step 6: Final answer
    x = 98,966.12

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.