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Finding the Third Proportional to 55,394 and 120,814

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Solution

The third proportional to 55,394 and 120,814 is: 263,494.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,394 : 120,814 = 120,814 : x
  2. Step 2: Convert to fraction form
    55,394/120,814 = 120,814/x
  3. Step 3: Cross multiply
    55,394x = 120,814 × 120,814
  4. Step 4: Simplify right side
    55,394x = 14,596,022,596
  5. Step 5: Solve for x
    x = 14,596,022,596/55,394
  6. Step 6: Final answer
    x = 263,494.65

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.