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Finding the Third Proportional to 75,952 and 156,766

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Solution

The third proportional to 75,952 and 156,766 is: 323,567.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,952 : 156,766 = 156,766 : x
  2. Step 2: Convert to fraction form
    75,952/156,766 = 156,766/x
  3. Step 3: Cross multiply
    75,952x = 156,766 × 156,766
  4. Step 4: Simplify right side
    75,952x = 24,575,578,756
  5. Step 5: Solve for x
    x = 24,575,578,756/75,952
  6. Step 6: Final answer
    x = 323,567.24

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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.