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Finding the Third Proportional to 73,644 and 156,045

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Solution

The third proportional to 73,644 and 156,045 is: 330,645.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,644 : 156,045 = 156,045 : x
  2. Step 2: Convert to fraction form
    73,644/156,045 = 156,045/x
  3. Step 3: Cross multiply
    73,644x = 156,045 × 156,045
  4. Step 4: Simplify right side
    73,644x = 24,350,042,025
  5. Step 5: Solve for x
    x = 24,350,042,025/73,644
  6. Step 6: Final answer
    x = 330,645.29

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.