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Finding the Third Proportional to 77,756 and 120,069

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Solution

The third proportional to 77,756 and 120,069 is: 185,407.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,756 : 120,069 = 120,069 : x
  2. Step 2: Convert to fraction form
    77,756/120,069 = 120,069/x
  3. Step 3: Cross multiply
    77,756x = 120,069 × 120,069
  4. Step 4: Simplify right side
    77,756x = 14,416,564,761
  5. Step 5: Solve for x
    x = 14,416,564,761/77,756
  6. Step 6: Final answer
    x = 185,407.75

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.