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Finding the Third Proportional to 108,768 and 159,558

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Solution

The third proportional to 108,768 and 159,558 is: 234,064.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,768 : 159,558 = 159,558 : x
  2. Step 2: Convert to fraction form
    108,768/159,558 = 159,558/x
  3. Step 3: Cross multiply
    108,768x = 159,558 × 159,558
  4. Step 4: Simplify right side
    108,768x = 25,458,755,364
  5. Step 5: Solve for x
    x = 25,458,755,364/108,768
  6. Step 6: Final answer
    x = 234,064.76

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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.