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Finding the Third Proportional to 83,092 and 180,276

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Solution

The third proportional to 83,092 and 180,276 is: 391,125.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,092 : 180,276 = 180,276 : x
  2. Step 2: Convert to fraction form
    83,092/180,276 = 180,276/x
  3. Step 3: Cross multiply
    83,092x = 180,276 × 180,276
  4. Step 4: Simplify right side
    83,092x = 32,499,436,176
  5. Step 5: Solve for x
    x = 32,499,436,176/83,092
  6. Step 6: Final answer
    x = 391,125.93

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.