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Finding the Third Proportional to 57,272.06 and 125,752.50

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Solution

The third proportional to 57,272.06 and 125,752.50 is: 276,115.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,272.06 : 125,752.50 = 125,752.50 : x
  2. Step 2: Convert to fraction form
    57,272.06/125,752.50 = 125,752.50/x
  3. Step 3: Cross multiply
    57,272.06x = 125,752.50 × 125,752.50
  4. Step 4: Simplify right side
    57,272.06x = 15,813,691,256.25
  5. Step 5: Solve for x
    x = 15,813,691,256.25/57,272.06
  6. Step 6: Final answer
    x = 276,115.27

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.