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Finding the Third Proportional to 70,024 and 104,791

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Solution

The third proportional to 70,024 and 104,791 is: 156,819.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,024 : 104,791 = 104,791 : x
  2. Step 2: Convert to fraction form
    70,024/104,791 = 104,791/x
  3. Step 3: Cross multiply
    70,024x = 104,791 × 104,791
  4. Step 4: Simplify right side
    70,024x = 10,981,153,681
  5. Step 5: Solve for x
    x = 10,981,153,681/70,024
  6. Step 6: Final answer
    x = 156,819.86

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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.