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Finding the Third Proportional to 52,519 and 79,749

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Solution

The third proportional to 52,519 and 79,749 is: 121,097.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,519 : 79,749 = 79,749 : x
  2. Step 2: Convert to fraction form
    52,519/79,749 = 79,749/x
  3. Step 3: Cross multiply
    52,519x = 79,749 × 79,749
  4. Step 4: Simplify right side
    52,519x = 6,359,903,001
  5. Step 5: Solve for x
    x = 6,359,903,001/52,519
  6. Step 6: Final answer
    x = 121,097.18

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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.