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Finding the Third Proportional to 72,586.13 and 156,297.09

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Solution

The third proportional to 72,586.13 and 156,297.09 is: 336,548.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,586.13 : 156,297.09 = 156,297.09 : x
  2. Step 2: Convert to fraction form
    72,586.13/156,297.09 = 156,297.09/x
  3. Step 3: Cross multiply
    72,586.13x = 156,297.09 × 156,297.09
  4. Step 4: Simplify right side
    72,586.13x = 24,428,781,514.70
  5. Step 5: Solve for x
    x = 24,428,781,514.70/72,586.13
  6. Step 6: Final answer
    x = 336,548.91

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.