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Finding the Third Proportional to 108,627 and 159,051.38

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Solution

The third proportional to 108,627 and 159,051.38 is: 232,882.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,627 : 159,051.38 = 159,051.38 : x
  2. Step 2: Convert to fraction form
    108,627/159,051.38 = 159,051.38/x
  3. Step 3: Cross multiply
    108,627x = 159,051.38 × 159,051.38
  4. Step 4: Simplify right side
    108,627x = 25,297,339,889.39
  5. Step 5: Solve for x
    x = 25,297,339,889.39/108,627
  6. Step 6: Final answer
    x = 232,882.62

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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.