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Finding the Third Proportional to 69,327 and 105,288

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Solution

The third proportional to 69,327 and 105,288 is: 159,902.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,327 : 105,288 = 105,288 : x
  2. Step 2: Convert to fraction form
    69,327/105,288 = 105,288/x
  3. Step 3: Cross multiply
    69,327x = 105,288 × 105,288
  4. Step 4: Simplify right side
    69,327x = 11,085,562,944
  5. Step 5: Solve for x
    x = 11,085,562,944/69,327
  6. Step 6: Final answer
    x = 159,902.53

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.