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Finding the Third Proportional to 100,126.50 and 139,983

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Solution

The third proportional to 100,126.50 and 139,983 is: 195,704.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,126.50 : 139,983 = 139,983 : x
  2. Step 2: Convert to fraction form
    100,126.50/139,983 = 139,983/x
  3. Step 3: Cross multiply
    100,126.50x = 139,983 × 139,983
  4. Step 4: Simplify right side
    100,126.50x = 19,595,240,289
  5. Step 5: Solve for x
    x = 19,595,240,289/100,126.50
  6. Step 6: Final answer
    x = 195,704.84

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.