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Finding the Third Proportional to 126,967.50 and 270,810

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Solution

The third proportional to 126,967.50 and 270,810 is: 577,612.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,967.50 : 270,810 = 270,810 : x
  2. Step 2: Convert to fraction form
    126,967.50/270,810 = 270,810/x
  3. Step 3: Cross multiply
    126,967.50x = 270,810 × 270,810
  4. Step 4: Simplify right side
    126,967.50x = 73,338,056,100
  5. Step 5: Solve for x
    x = 73,338,056,100/126,967.50
  6. Step 6: Final answer
    x = 577,612.82

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