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Finding the Third Proportional to 132,724 and 205,530

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Solution

The third proportional to 132,724 and 205,530 is: 318,273.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,724 : 205,530 = 205,530 : x
  2. Step 2: Convert to fraction form
    132,724/205,530 = 205,530/x
  3. Step 3: Cross multiply
    132,724x = 205,530 × 205,530
  4. Step 4: Simplify right side
    132,724x = 42,242,580,900
  5. Step 5: Solve for x
    x = 42,242,580,900/132,724
  6. Step 6: Final answer
    x = 318,273.87

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.