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Finding the Third Proportional to 60,120 and 129,283.88

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Solution

The third proportional to 60,120 and 129,283.88 is: 278,015.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,120 : 129,283.88 = 129,283.88 : x
  2. Step 2: Convert to fraction form
    60,120/129,283.88 = 129,283.88/x
  3. Step 3: Cross multiply
    60,120x = 129,283.88 × 129,283.88
  4. Step 4: Simplify right side
    60,120x = 16,714,320,335.02
  5. Step 5: Solve for x
    x = 16,714,320,335.02/60,120
  6. Step 6: Final answer
    x = 278,015.97

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.