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Finding the Third Proportional to 38,136 and 80,888

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Solution

The third proportional to 38,136 and 80,888 is: 171,566.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,136 : 80,888 = 80,888 : x
  2. Step 2: Convert to fraction form
    38,136/80,888 = 80,888/x
  3. Step 3: Cross multiply
    38,136x = 80,888 × 80,888
  4. Step 4: Simplify right side
    38,136x = 6,542,868,544
  5. Step 5: Solve for x
    x = 6,542,868,544/38,136
  6. Step 6: Final answer
    x = 171,566.72

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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.