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Finding the Third Proportional to 77,847 and 120,400.50

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Solution

The third proportional to 77,847 and 120,400.50 is: 186,215.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,847 : 120,400.50 = 120,400.50 : x
  2. Step 2: Convert to fraction form
    77,847/120,400.50 = 120,400.50/x
  3. Step 3: Cross multiply
    77,847x = 120,400.50 × 120,400.50
  4. Step 4: Simplify right side
    77,847x = 14,496,280,400.25
  5. Step 5: Solve for x
    x = 14,496,280,400.25/77,847
  6. Step 6: Final answer
    x = 186,215.02

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.