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Finding the Third Proportional to 85,692 and 183,372

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Solution

The third proportional to 85,692 and 183,372 is: 392,397.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,692 : 183,372 = 183,372 : x
  2. Step 2: Convert to fraction form
    85,692/183,372 = 183,372/x
  3. Step 3: Cross multiply
    85,692x = 183,372 × 183,372
  4. Step 4: Simplify right side
    85,692x = 33,625,290,384
  5. Step 5: Solve for x
    x = 33,625,290,384/85,692
  6. Step 6: Final answer
    x = 392,397.08

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.