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Finding the Third Proportional to 108,642 and 159,072.75

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Solution

The third proportional to 108,642 and 159,072.75 is: 232,913.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,642 : 159,072.75 = 159,072.75 : x
  2. Step 2: Convert to fraction form
    108,642/159,072.75 = 159,072.75/x
  3. Step 3: Cross multiply
    108,642x = 159,072.75 × 159,072.75
  4. Step 4: Simplify right side
    108,642x = 25,304,139,792.56
  5. Step 5: Solve for x
    x = 25,304,139,792.56/108,642
  6. Step 6: Final answer
    x = 232,913.05

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.