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Finding the Third Proportional to 65,882 and 159,237

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Solution

The third proportional to 65,882 and 159,237 is: 384,876.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,882 : 159,237 = 159,237 : x
  2. Step 2: Convert to fraction form
    65,882/159,237 = 159,237/x
  3. Step 3: Cross multiply
    65,882x = 159,237 × 159,237
  4. Step 4: Simplify right side
    65,882x = 25,356,422,169
  5. Step 5: Solve for x
    x = 25,356,422,169/65,882
  6. Step 6: Final answer
    x = 384,876.33

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.