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Finding the Third Proportional to 34,769 and 75,081

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Solution

The third proportional to 34,769 and 75,081 is: 162,131.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,769 : 75,081 = 75,081 : x
  2. Step 2: Convert to fraction form
    34,769/75,081 = 75,081/x
  3. Step 3: Cross multiply
    34,769x = 75,081 × 75,081
  4. Step 4: Simplify right side
    34,769x = 5,637,156,561
  5. Step 5: Solve for x
    x = 5,637,156,561/34,769
  6. Step 6: Final answer
    x = 162,131.69

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.