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Finding the Third Proportional to 70,447 and 156,087

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Solution

The third proportional to 70,447 and 156,087 is: 345,836.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,447 : 156,087 = 156,087 : x
  2. Step 2: Convert to fraction form
    70,447/156,087 = 156,087/x
  3. Step 3: Cross multiply
    70,447x = 156,087 × 156,087
  4. Step 4: Simplify right side
    70,447x = 24,363,151,569
  5. Step 5: Solve for x
    x = 24,363,151,569/70,447
  6. Step 6: Final answer
    x = 345,836.61

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.