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Finding the Third Proportional to 75,061 and 161,759

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Solution

The third proportional to 75,061 and 161,759 is: 348,596.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,061 : 161,759 = 161,759 : x
  2. Step 2: Convert to fraction form
    75,061/161,759 = 161,759/x
  3. Step 3: Cross multiply
    75,061x = 161,759 × 161,759
  4. Step 4: Simplify right side
    75,061x = 26,165,974,081
  5. Step 5: Solve for x
    x = 26,165,974,081/75,061
  6. Step 6: Final answer
    x = 348,596.13

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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.