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Finding the Third Proportional to 120,564 and 177,327

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Solution

The third proportional to 120,564 and 177,327 is: 260,814.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,564 : 177,327 = 177,327 : x
  2. Step 2: Convert to fraction form
    120,564/177,327 = 177,327/x
  3. Step 3: Cross multiply
    120,564x = 177,327 × 177,327
  4. Step 4: Simplify right side
    120,564x = 31,444,864,929
  5. Step 5: Solve for x
    x = 31,444,864,929/120,564
  6. Step 6: Final answer
    x = 260,814.71

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.