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Finding the Third Proportional to 51,892 and 79,362

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Solution

The third proportional to 51,892 and 79,362 is: 121,373.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,892 : 79,362 = 79,362 : x
  2. Step 2: Convert to fraction form
    51,892/79,362 = 79,362/x
  3. Step 3: Cross multiply
    51,892x = 79,362 × 79,362
  4. Step 4: Simplify right side
    51,892x = 6,298,327,044
  5. Step 5: Solve for x
    x = 6,298,327,044/51,892
  6. Step 6: Final answer
    x = 121,373.76

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.