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Finding the Third Proportional to 44,082 and 79,413

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Solution

The third proportional to 44,082 and 79,413 is: 143,061.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,082 : 79,413 = 79,413 : x
  2. Step 2: Convert to fraction form
    44,082/79,413 = 79,413/x
  3. Step 3: Cross multiply
    44,082x = 79,413 × 79,413
  4. Step 4: Simplify right side
    44,082x = 6,306,424,569
  5. Step 5: Solve for x
    x = 6,306,424,569/44,082
  6. Step 6: Final answer
    x = 143,061.22

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Why These Related Problems?

These problems maintain the same ratio (1.80) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.