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Finding the Third Proportional to 37,620 and 80,136

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Solution

The third proportional to 37,620 and 80,136 is: 170,701.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,620 : 80,136 = 80,136 : x
  2. Step 2: Convert to fraction form
    37,620/80,136 = 80,136/x
  3. Step 3: Cross multiply
    37,620x = 80,136 × 80,136
  4. Step 4: Simplify right side
    37,620x = 6,421,778,496
  5. Step 5: Solve for x
    x = 6,421,778,496/37,620
  6. Step 6: Final answer
    x = 170,701.18

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.