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Finding the Third Proportional to 37,136 and 81,184

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Solution

The third proportional to 37,136 and 81,184 is: 177,478.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,136 : 81,184 = 81,184 : x
  2. Step 2: Convert to fraction form
    37,136/81,184 = 81,184/x
  3. Step 3: Cross multiply
    37,136x = 81,184 × 81,184
  4. Step 4: Simplify right side
    37,136x = 6,590,841,856
  5. Step 5: Solve for x
    x = 6,590,841,856/37,136
  6. Step 6: Final answer
    x = 177,478.51

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.