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Finding the Third Proportional to 58,800 and 120,720

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Solution

The third proportional to 58,800 and 120,720 is: 247,845.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,800 : 120,720 = 120,720 : x
  2. Step 2: Convert to fraction form
    58,800/120,720 = 120,720/x
  3. Step 3: Cross multiply
    58,800x = 120,720 × 120,720
  4. Step 4: Simplify right side
    58,800x = 14,573,318,400
  5. Step 5: Solve for x
    x = 14,573,318,400/58,800
  6. Step 6: Final answer
    x = 247,845.55

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.