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Finding the Third Proportional to 90,471 and 125,014

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Solution

The third proportional to 90,471 and 125,014 is: 172,745.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,471 : 125,014 = 125,014 : x
  2. Step 2: Convert to fraction form
    90,471/125,014 = 125,014/x
  3. Step 3: Cross multiply
    90,471x = 125,014 × 125,014
  4. Step 4: Simplify right side
    90,471x = 15,628,500,196
  5. Step 5: Solve for x
    x = 15,628,500,196/90,471
  6. Step 6: Final answer
    x = 172,745.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.