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Finding the Third Proportional to 49,117 and 74,084

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Solution

The third proportional to 49,117 and 74,084 is: 111,742.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,117 : 74,084 = 74,084 : x
  2. Step 2: Convert to fraction form
    49,117/74,084 = 74,084/x
  3. Step 3: Cross multiply
    49,117x = 74,084 × 74,084
  4. Step 4: Simplify right side
    49,117x = 5,488,439,056
  5. Step 5: Solve for x
    x = 5,488,439,056/49,117
  6. Step 6: Final answer
    x = 111,742.15

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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.