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Finding the Third Proportional to 49,342 and 106,082

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Solution

The third proportional to 49,342 and 106,082 is: 228,069.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,342 : 106,082 = 106,082 : x
  2. Step 2: Convert to fraction form
    49,342/106,082 = 106,082/x
  3. Step 3: Cross multiply
    49,342x = 106,082 × 106,082
  4. Step 4: Simplify right side
    49,342x = 11,253,390,724
  5. Step 5: Solve for x
    x = 11,253,390,724/49,342
  6. Step 6: Final answer
    x = 228,069.21

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.