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Finding the Third Proportional to 52,583 and 79,419

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Solution

The third proportional to 52,583 and 79,419 is: 119,950.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,583 : 79,419 = 79,419 : x
  2. Step 2: Convert to fraction form
    52,583/79,419 = 79,419/x
  3. Step 3: Cross multiply
    52,583x = 79,419 × 79,419
  4. Step 4: Simplify right side
    52,583x = 6,307,377,561
  5. Step 5: Solve for x
    x = 6,307,377,561/52,583
  6. Step 6: Final answer
    x = 119,950.89

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.