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Finding the Third Proportional to 68,968 and 105,457

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Solution

The third proportional to 68,968 and 105,457 is: 161,251.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,968 : 105,457 = 105,457 : x
  2. Step 2: Convert to fraction form
    68,968/105,457 = 105,457/x
  3. Step 3: Cross multiply
    68,968x = 105,457 × 105,457
  4. Step 4: Simplify right side
    68,968x = 11,121,178,849
  5. Step 5: Solve for x
    x = 11,121,178,849/68,968
  6. Step 6: Final answer
    x = 161,251.29

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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.