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Finding the Third Proportional to 65,652 and 158,283

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Solution

The third proportional to 65,652 and 158,283 is: 381,610.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,652 : 158,283 = 158,283 : x
  2. Step 2: Convert to fraction form
    65,652/158,283 = 158,283/x
  3. Step 3: Cross multiply
    65,652x = 158,283 × 158,283
  4. Step 4: Simplify right side
    65,652x = 25,053,508,089
  5. Step 5: Solve for x
    x = 25,053,508,089/65,652
  6. Step 6: Final answer
    x = 381,610.74

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.