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Finding the Third Proportional to 56,778 and 119,438

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Solution

The third proportional to 56,778 and 119,438 is: 251,249.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,778 : 119,438 = 119,438 : x
  2. Step 2: Convert to fraction form
    56,778/119,438 = 119,438/x
  3. Step 3: Cross multiply
    56,778x = 119,438 × 119,438
  4. Step 4: Simplify right side
    56,778x = 14,265,435,844
  5. Step 5: Solve for x
    x = 14,265,435,844/56,778
  6. Step 6: Final answer
    x = 251,249.35

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.