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Finding the Third Proportional to 108,756 and 159,540

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Solution

The third proportional to 108,756 and 159,540 is: 234,037.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,756 : 159,540 = 159,540 : x
  2. Step 2: Convert to fraction form
    108,756/159,540 = 159,540/x
  3. Step 3: Cross multiply
    108,756x = 159,540 × 159,540
  4. Step 4: Simplify right side
    108,756x = 25,453,011,600
  5. Step 5: Solve for x
    x = 25,453,011,600/108,756
  6. Step 6: Final answer
    x = 234,037.77

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.