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Finding the Third Proportional to 115,920 and 247,150

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Solution

The third proportional to 115,920 and 247,150 is: 526,942.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,920 : 247,150 = 247,150 : x
  2. Step 2: Convert to fraction form
    115,920/247,150 = 247,150/x
  3. Step 3: Cross multiply
    115,920x = 247,150 × 247,150
  4. Step 4: Simplify right side
    115,920x = 61,083,122,500
  5. Step 5: Solve for x
    x = 61,083,122,500/115,920
  6. Step 6: Final answer
    x = 526,942.05

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.