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Finding the Third Proportional to 85,550 and 125,074

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Solution

The third proportional to 85,550 and 125,074 is: 182,858.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,550 : 125,074 = 125,074 : x
  2. Step 2: Convert to fraction form
    85,550/125,074 = 125,074/x
  3. Step 3: Cross multiply
    85,550x = 125,074 × 125,074
  4. Step 4: Simplify right side
    85,550x = 15,643,505,476
  5. Step 5: Solve for x
    x = 15,643,505,476/85,550
  6. Step 6: Final answer
    x = 182,858.04

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.