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Finding the Third Proportional to 63,138 and 98,027.25

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Solution

The third proportional to 63,138 and 98,027.25 is: 152,195.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,138 : 98,027.25 = 98,027.25 : x
  2. Step 2: Convert to fraction form
    63,138/98,027.25 = 98,027.25/x
  3. Step 3: Cross multiply
    63,138x = 98,027.25 × 98,027.25
  4. Step 4: Simplify right side
    63,138x = 9,609,341,742.56
  5. Step 5: Solve for x
    x = 9,609,341,742.56/63,138
  6. Step 6: Final answer
    x = 152,195.85

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.