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Finding the Third Proportional to 60,413 and 125,074

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Solution

The third proportional to 60,413 and 125,074 is: 258,942.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,413 : 125,074 = 125,074 : x
  2. Step 2: Convert to fraction form
    60,413/125,074 = 125,074/x
  3. Step 3: Cross multiply
    60,413x = 125,074 × 125,074
  4. Step 4: Simplify right side
    60,413x = 15,643,505,476
  5. Step 5: Solve for x
    x = 15,643,505,476/60,413
  6. Step 6: Final answer
    x = 258,942.70

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.