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Finding the Third Proportional to 86,289 and 176,759

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Solution

The third proportional to 86,289 and 176,759 is: 362,082.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,289 : 176,759 = 176,759 : x
  2. Step 2: Convert to fraction form
    86,289/176,759 = 176,759/x
  3. Step 3: Cross multiply
    86,289x = 176,759 × 176,759
  4. Step 4: Simplify right side
    86,289x = 31,243,744,081
  5. Step 5: Solve for x
    x = 31,243,744,081/86,289
  6. Step 6: Final answer
    x = 362,082.58

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.