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Finding the Third Proportional to 56,448 and 120,394

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Solution

The third proportional to 56,448 and 120,394 is: 256,779.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,448 : 120,394 = 120,394 : x
  2. Step 2: Convert to fraction form
    56,448/120,394 = 120,394/x
  3. Step 3: Cross multiply
    56,448x = 120,394 × 120,394
  4. Step 4: Simplify right side
    56,448x = 14,494,715,236
  5. Step 5: Solve for x
    x = 14,494,715,236/56,448
  6. Step 6: Final answer
    x = 256,779.96

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.