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Finding the Third Proportional to 50,788 and 79,422

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Solution

The third proportional to 50,788 and 79,422 is: 124,199.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,788 : 79,422 = 79,422 : x
  2. Step 2: Convert to fraction form
    50,788/79,422 = 79,422/x
  3. Step 3: Cross multiply
    50,788x = 79,422 × 79,422
  4. Step 4: Simplify right side
    50,788x = 6,307,854,084
  5. Step 5: Solve for x
    x = 6,307,854,084/50,788
  6. Step 6: Final answer
    x = 124,199.69

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.