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Finding the Third Proportional to 63,302 and 98,144

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Solution

The third proportional to 63,302 and 98,144 is: 152,163.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,302 : 98,144 = 98,144 : x
  2. Step 2: Convert to fraction form
    63,302/98,144 = 98,144/x
  3. Step 3: Cross multiply
    63,302x = 98,144 × 98,144
  4. Step 4: Simplify right side
    63,302x = 9,632,244,736
  5. Step 5: Solve for x
    x = 9,632,244,736/63,302
  6. Step 6: Final answer
    x = 152,163.36

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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.