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Finding the Third Proportional to 127,012.50 and 270,895.50

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Solution

The third proportional to 127,012.50 and 270,895.50 is: 577,772.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,012.50 : 270,895.50 = 270,895.50 : x
  2. Step 2: Convert to fraction form
    127,012.50/270,895.50 = 270,895.50/x
  3. Step 3: Cross multiply
    127,012.50x = 270,895.50 × 270,895.50
  4. Step 4: Simplify right side
    127,012.50x = 73,384,371,920.25
  5. Step 5: Solve for x
    x = 73,384,371,920.25/127,012.50
  6. Step 6: Final answer
    x = 577,772.83

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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.