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Finding the Third Proportional to 72,768 and 108,703

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Solution

The third proportional to 72,768 and 108,703 is: 162,383.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,768 : 108,703 = 108,703 : x
  2. Step 2: Convert to fraction form
    72,768/108,703 = 108,703/x
  3. Step 3: Cross multiply
    72,768x = 108,703 × 108,703
  4. Step 4: Simplify right side
    72,768x = 11,816,342,209
  5. Step 5: Solve for x
    x = 11,816,342,209/72,768
  6. Step 6: Final answer
    x = 162,383.77

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.