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Finding the Third Proportional to 68,082 and 102,216

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Solution

The third proportional to 68,082 and 102,216 is: 153,463.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,082 : 102,216 = 102,216 : x
  2. Step 2: Convert to fraction form
    68,082/102,216 = 102,216/x
  3. Step 3: Cross multiply
    68,082x = 102,216 × 102,216
  4. Step 4: Simplify right side
    68,082x = 10,448,110,656
  5. Step 5: Solve for x
    x = 10,448,110,656/68,082
  6. Step 6: Final answer
    x = 153,463.63

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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.