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Finding the Third Proportional to 68,882 and 105,362

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Solution

The third proportional to 68,882 and 105,362 is: 161,161.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,882 : 105,362 = 105,362 : x
  2. Step 2: Convert to fraction form
    68,882/105,362 = 105,362/x
  3. Step 3: Cross multiply
    68,882x = 105,362 × 105,362
  4. Step 4: Simplify right side
    68,882x = 11,101,151,044
  5. Step 5: Solve for x
    x = 11,101,151,044/68,882
  6. Step 6: Final answer
    x = 161,161.86

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.