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Finding the Third Proportional to 125,246.25 and 254,867.25

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Solution

The third proportional to 125,246.25 and 254,867.25 is: 518,636.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,246.25 : 254,867.25 = 254,867.25 : x
  2. Step 2: Convert to fraction form
    125,246.25/254,867.25 = 254,867.25/x
  3. Step 3: Cross multiply
    125,246.25x = 254,867.25 × 254,867.25
  4. Step 4: Simplify right side
    125,246.25x = 64,957,315,122.56
  5. Step 5: Solve for x
    x = 64,957,315,122.56/125,246.25
  6. Step 6: Final answer
    x = 518,636.81

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.