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Finding the Third Proportional to 68,483 and 102,941

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Solution

The third proportional to 68,483 and 102,941 is: 154,736.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,483 : 102,941 = 102,941 : x
  2. Step 2: Convert to fraction form
    68,483/102,941 = 102,941/x
  3. Step 3: Cross multiply
    68,483x = 102,941 × 102,941
  4. Step 4: Simplify right side
    68,483x = 10,596,849,481
  5. Step 5: Solve for x
    x = 10,596,849,481/68,483
  6. Step 6: Final answer
    x = 154,736.93

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