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Finding the Third Proportional to 42,703 and 64,192

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Solution

The third proportional to 42,703 and 64,192 is: 96,494.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,703 : 64,192 = 64,192 : x
  2. Step 2: Convert to fraction form
    42,703/64,192 = 64,192/x
  3. Step 3: Cross multiply
    42,703x = 64,192 × 64,192
  4. Step 4: Simplify right side
    42,703x = 4,120,612,864
  5. Step 5: Solve for x
    x = 4,120,612,864/42,703
  6. Step 6: Final answer
    x = 96,494.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.