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Finding the Third Proportional to 52,266 and 79,493

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Solution

The third proportional to 52,266 and 79,493 is: 120,903.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,266 : 79,493 = 79,493 : x
  2. Step 2: Convert to fraction form
    52,266/79,493 = 79,493/x
  3. Step 3: Cross multiply
    52,266x = 79,493 × 79,493
  4. Step 4: Simplify right side
    52,266x = 6,319,137,049
  5. Step 5: Solve for x
    x = 6,319,137,049/52,266
  6. Step 6: Final answer
    x = 120,903.40

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.