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Finding the Third Proportional to 72,339 and 156,707

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Solution

The third proportional to 72,339 and 156,707 is: 339,472.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,339 : 156,707 = 156,707 : x
  2. Step 2: Convert to fraction form
    72,339/156,707 = 156,707/x
  3. Step 3: Cross multiply
    72,339x = 156,707 × 156,707
  4. Step 4: Simplify right side
    72,339x = 24,557,083,849
  5. Step 5: Solve for x
    x = 24,557,083,849/72,339
  6. Step 6: Final answer
    x = 339,472.26

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.