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Finding the Third Proportional to 68,072 and 102,182

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Solution

The third proportional to 68,072 and 102,182 is: 153,384.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,072 : 102,182 = 102,182 : x
  2. Step 2: Convert to fraction form
    68,072/102,182 = 102,182/x
  3. Step 3: Cross multiply
    68,072x = 102,182 × 102,182
  4. Step 4: Simplify right side
    68,072x = 10,441,161,124
  5. Step 5: Solve for x
    x = 10,441,161,124/68,072
  6. Step 6: Final answer
    x = 153,384.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.