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Finding the Third Proportional to 68,986 and 105,484

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Solution

The third proportional to 68,986 and 105,484 is: 161,291.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,986 : 105,484 = 105,484 : x
  2. Step 2: Convert to fraction form
    68,986/105,484 = 105,484/x
  3. Step 3: Cross multiply
    68,986x = 105,484 × 105,484
  4. Step 4: Simplify right side
    68,986x = 11,126,874,256
  5. Step 5: Solve for x
    x = 11,126,874,256/68,986
  6. Step 6: Final answer
    x = 161,291.77

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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.