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Finding the Third Proportional to 52,443 and 78,649

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Solution

The third proportional to 52,443 and 78,649 is: 117,950.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,443 : 78,649 = 78,649 : x
  2. Step 2: Convert to fraction form
    52,443/78,649 = 78,649/x
  3. Step 3: Cross multiply
    52,443x = 78,649 × 78,649
  4. Step 4: Simplify right side
    52,443x = 6,185,665,201
  5. Step 5: Solve for x
    x = 6,185,665,201/52,443
  6. Step 6: Final answer
    x = 117,950.25

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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.