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Finding the Third Proportional to 75,722 and 156,300

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Solution

The third proportional to 75,722 and 156,300 is: 322,623.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,722 : 156,300 = 156,300 : x
  2. Step 2: Convert to fraction form
    75,722/156,300 = 156,300/x
  3. Step 3: Cross multiply
    75,722x = 156,300 × 156,300
  4. Step 4: Simplify right side
    75,722x = 24,429,690,000
  5. Step 5: Solve for x
    x = 24,429,690,000/75,722
  6. Step 6: Final answer
    x = 322,623.41

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.