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Finding the Third Proportional to 52,182 and 79,270

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Solution

The third proportional to 52,182 and 79,270 is: 120,419.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,182 : 79,270 = 79,270 : x
  2. Step 2: Convert to fraction form
    52,182/79,270 = 79,270/x
  3. Step 3: Cross multiply
    52,182x = 79,270 × 79,270
  4. Step 4: Simplify right side
    52,182x = 6,283,732,900
  5. Step 5: Solve for x
    x = 6,283,732,900/52,182
  6. Step 6: Final answer
    x = 120,419.55

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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.