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Finding the Third Proportional to 77,778 and 120,659

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Solution

The third proportional to 77,778 and 120,659 is: 187,181.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,778 : 120,659 = 120,659 : x
  2. Step 2: Convert to fraction form
    77,778/120,659 = 120,659/x
  3. Step 3: Cross multiply
    77,778x = 120,659 × 120,659
  4. Step 4: Simplify right side
    77,778x = 14,558,594,281
  5. Step 5: Solve for x
    x = 14,558,594,281/77,778
  6. Step 6: Final answer
    x = 187,181.39

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.