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Finding the Third Proportional to 108,772.88 and 161,109

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Solution

The third proportional to 108,772.88 and 161,109 is: 238,626.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,772.88 : 161,109 = 161,109 : x
  2. Step 2: Convert to fraction form
    108,772.88/161,109 = 161,109/x
  3. Step 3: Cross multiply
    108,772.88x = 161,109 × 161,109
  4. Step 4: Simplify right side
    108,772.88x = 25,956,109,881
  5. Step 5: Solve for x
    x = 25,956,109,881/108,772.88
  6. Step 6: Final answer
    x = 238,626.68

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.