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Finding the Third Proportional to 56,488 and 122,814

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Solution

The third proportional to 56,488 and 122,814 is: 267,017.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,488 : 122,814 = 122,814 : x
  2. Step 2: Convert to fraction form
    56,488/122,814 = 122,814/x
  3. Step 3: Cross multiply
    56,488x = 122,814 × 122,814
  4. Step 4: Simplify right side
    56,488x = 15,083,278,596
  5. Step 5: Solve for x
    x = 15,083,278,596/56,488
  6. Step 6: Final answer
    x = 267,017.39

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.