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Finding the Third Proportional to 124,625.25 and 270,283.50

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Solution

The third proportional to 124,625.25 and 270,283.50 is: 586,182.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,625.25 : 270,283.50 = 270,283.50 : x
  2. Step 2: Convert to fraction form
    124,625.25/270,283.50 = 270,283.50/x
  3. Step 3: Cross multiply
    124,625.25x = 270,283.50 × 270,283.50
  4. Step 4: Simplify right side
    124,625.25x = 73,053,170,372.25
  5. Step 5: Solve for x
    x = 73,053,170,372.25/124,625.25
  6. Step 6: Final answer
    x = 586,182.74

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.