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Finding the Third Proportional to 49,565 and 74,131

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Solution

The third proportional to 49,565 and 74,131 is: 110,872.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,565 : 74,131 = 74,131 : x
  2. Step 2: Convert to fraction form
    49,565/74,131 = 74,131/x
  3. Step 3: Cross multiply
    49,565x = 74,131 × 74,131
  4. Step 4: Simplify right side
    49,565x = 5,495,405,161
  5. Step 5: Solve for x
    x = 5,495,405,161/49,565
  6. Step 6: Final answer
    x = 110,872.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.