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Finding the Third Proportional to 126,292.50 and 270,097.50

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Solution

The third proportional to 126,292.50 and 270,097.50 is: 577,648.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,292.50 : 270,097.50 = 270,097.50 : x
  2. Step 2: Convert to fraction form
    126,292.50/270,097.50 = 270,097.50/x
  3. Step 3: Cross multiply
    126,292.50x = 270,097.50 × 270,097.50
  4. Step 4: Simplify right side
    126,292.50x = 72,952,659,506.25
  5. Step 5: Solve for x
    x = 72,952,659,506.25/126,292.50
  6. Step 6: Final answer
    x = 577,648.39

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.