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Finding the Third Proportional to 63,983 and 100,142

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Solution

The third proportional to 63,983 and 100,142 is: 156,735.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,983 : 100,142 = 100,142 : x
  2. Step 2: Convert to fraction form
    63,983/100,142 = 100,142/x
  3. Step 3: Cross multiply
    63,983x = 100,142 × 100,142
  4. Step 4: Simplify right side
    63,983x = 10,028,420,164
  5. Step 5: Solve for x
    x = 10,028,420,164/63,983
  6. Step 6: Final answer
    x = 156,735.70

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.