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Finding the Third Proportional to 79,927 and 175,082

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Solution

The third proportional to 79,927 and 175,082 is: 383,521.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,927 : 175,082 = 175,082 : x
  2. Step 2: Convert to fraction form
    79,927/175,082 = 175,082/x
  3. Step 3: Cross multiply
    79,927x = 175,082 × 175,082
  4. Step 4: Simplify right side
    79,927x = 30,653,706,724
  5. Step 5: Solve for x
    x = 30,653,706,724/79,927
  6. Step 6: Final answer
    x = 383,521.30

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.