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Finding the Third Proportional to 108,078 and 161,685

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Solution

The third proportional to 108,078 and 161,685 is: 241,881.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,078 : 161,685 = 161,685 : x
  2. Step 2: Convert to fraction form
    108,078/161,685 = 161,685/x
  3. Step 3: Cross multiply
    108,078x = 161,685 × 161,685
  4. Step 4: Simplify right side
    108,078x = 26,142,039,225
  5. Step 5: Solve for x
    x = 26,142,039,225/108,078
  6. Step 6: Final answer
    x = 241,881.23

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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.