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Finding the Third Proportional to 52,239 and 79,581

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Solution

The third proportional to 52,239 and 79,581 is: 121,233.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,239 : 79,581 = 79,581 : x
  2. Step 2: Convert to fraction form
    52,239/79,581 = 79,581/x
  3. Step 3: Cross multiply
    52,239x = 79,581 × 79,581
  4. Step 4: Simplify right side
    52,239x = 6,333,135,561
  5. Step 5: Solve for x
    x = 6,333,135,561/52,239
  6. Step 6: Final answer
    x = 121,233.86

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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.