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Finding the Third Proportional to 80,073 and 185,349

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Solution

The third proportional to 80,073 and 185,349 is: 429,036.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,073 : 185,349 = 185,349 : x
  2. Step 2: Convert to fraction form
    80,073/185,349 = 185,349/x
  3. Step 3: Cross multiply
    80,073x = 185,349 × 185,349
  4. Step 4: Simplify right side
    80,073x = 34,354,251,801
  5. Step 5: Solve for x
    x = 34,354,251,801/80,073
  6. Step 6: Final answer
    x = 429,036.65

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.