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Finding the Third Proportional to 79,653 and 172,211.25

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Solution

The third proportional to 79,653 and 172,211.25 is: 372,323.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,653 : 172,211.25 = 172,211.25 : x
  2. Step 2: Convert to fraction form
    79,653/172,211.25 = 172,211.25/x
  3. Step 3: Cross multiply
    79,653x = 172,211.25 × 172,211.25
  4. Step 4: Simplify right side
    79,653x = 29,656,714,626.56
  5. Step 5: Solve for x
    x = 29,656,714,626.56/79,653
  6. Step 6: Final answer
    x = 372,323.89

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.