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Finding the Third Proportional to 37,234 and 81,034

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Solution

The third proportional to 37,234 and 81,034 is: 176,357.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,234 : 81,034 = 81,034 : x
  2. Step 2: Convert to fraction form
    37,234/81,034 = 81,034/x
  3. Step 3: Cross multiply
    37,234x = 81,034 × 81,034
  4. Step 4: Simplify right side
    37,234x = 6,566,509,156
  5. Step 5: Solve for x
    x = 6,566,509,156/37,234
  6. Step 6: Final answer
    x = 176,357.88

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.