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Finding the Third Proportional to 126,928.75 and 270,158

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Solution

The third proportional to 126,928.75 and 270,158 is: 575,010.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,928.75 : 270,158 = 270,158 : x
  2. Step 2: Convert to fraction form
    126,928.75/270,158 = 270,158/x
  3. Step 3: Cross multiply
    126,928.75x = 270,158 × 270,158
  4. Step 4: Simplify right side
    126,928.75x = 72,985,344,964
  5. Step 5: Solve for x
    x = 72,985,344,964/126,928.75
  6. Step 6: Final answer
    x = 575,010.35

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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.