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Finding the Third Proportional to 78,348 and 126,120

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Solution

The third proportional to 78,348 and 126,120 is: 203,020.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,348 : 126,120 = 126,120 : x
  2. Step 2: Convert to fraction form
    78,348/126,120 = 126,120/x
  3. Step 3: Cross multiply
    78,348x = 126,120 × 126,120
  4. Step 4: Simplify right side
    78,348x = 15,906,254,400
  5. Step 5: Solve for x
    x = 15,906,254,400/78,348
  6. Step 6: Final answer
    x = 203,020.55

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.