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Finding the Third Proportional to 34,266 and 74,741

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Solution

The third proportional to 34,266 and 74,741 is: 163,025.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,266 : 74,741 = 74,741 : x
  2. Step 2: Convert to fraction form
    34,266/74,741 = 74,741/x
  3. Step 3: Cross multiply
    34,266x = 74,741 × 74,741
  4. Step 4: Simplify right side
    34,266x = 5,586,217,081
  5. Step 5: Solve for x
    x = 5,586,217,081/34,266
  6. Step 6: Final answer
    x = 163,025.07

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.