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Finding the Third Proportional to 49,218 and 74,082

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Solution

The third proportional to 49,218 and 74,082 is: 111,506.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,218 : 74,082 = 74,082 : x
  2. Step 2: Convert to fraction form
    49,218/74,082 = 74,082/x
  3. Step 3: Cross multiply
    49,218x = 74,082 × 74,082
  4. Step 4: Simplify right side
    49,218x = 5,488,142,724
  5. Step 5: Solve for x
    x = 5,488,142,724/49,218
  6. Step 6: Final answer
    x = 111,506.82

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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.