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Finding the Third Proportional to 85,376 and 183,904

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Solution

The third proportional to 85,376 and 183,904 is: 396,138.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,376 : 183,904 = 183,904 : x
  2. Step 2: Convert to fraction form
    85,376/183,904 = 183,904/x
  3. Step 3: Cross multiply
    85,376x = 183,904 × 183,904
  4. Step 4: Simplify right side
    85,376x = 33,820,681,216
  5. Step 5: Solve for x
    x = 33,820,681,216/85,376
  6. Step 6: Final answer
    x = 396,138.04

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.