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Finding the Third Proportional to 63,945 and 100,017.75

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Solution

The third proportional to 63,945 and 100,017.75 is: 156,439.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,945 : 100,017.75 = 100,017.75 : x
  2. Step 2: Convert to fraction form
    63,945/100,017.75 = 100,017.75/x
  3. Step 3: Cross multiply
    63,945x = 100,017.75 × 100,017.75
  4. Step 4: Simplify right side
    63,945x = 10,003,550,315.06
  5. Step 5: Solve for x
    x = 10,003,550,315.06/63,945
  6. Step 6: Final answer
    x = 156,439.91

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.