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Finding the Third Proportional to 124,846 and 182,594

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Solution

The third proportional to 124,846 and 182,594 is: 267,053.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,846 : 182,594 = 182,594 : x
  2. Step 2: Convert to fraction form
    124,846/182,594 = 182,594/x
  3. Step 3: Cross multiply
    124,846x = 182,594 × 182,594
  4. Step 4: Simplify right side
    124,846x = 33,340,568,836
  5. Step 5: Solve for x
    x = 33,340,568,836/124,846
  6. Step 6: Final answer
    x = 267,053.56

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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.