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Finding the Third Proportional to 65,514 and 156,006

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Solution

The third proportional to 65,514 and 156,006 is: 371,491.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,514 : 156,006 = 156,006 : x
  2. Step 2: Convert to fraction form
    65,514/156,006 = 156,006/x
  3. Step 3: Cross multiply
    65,514x = 156,006 × 156,006
  4. Step 4: Simplify right side
    65,514x = 24,337,872,036
  5. Step 5: Solve for x
    x = 24,337,872,036/65,514
  6. Step 6: Final answer
    x = 371,491.16

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Why These Related Problems?

These problems maintain the same ratio (2.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.