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Finding the Third Proportional to 75,720 and 156,296

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Solution

The third proportional to 75,720 and 156,296 is: 322,615.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,720 : 156,296 = 156,296 : x
  2. Step 2: Convert to fraction form
    75,720/156,296 = 156,296/x
  3. Step 3: Cross multiply
    75,720x = 156,296 × 156,296
  4. Step 4: Simplify right side
    75,720x = 24,428,439,616
  5. Step 5: Solve for x
    x = 24,428,439,616/75,720
  6. Step 6: Final answer
    x = 322,615.42

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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.