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Finding the Third Proportional to 67,144 and 98,860

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Solution

The third proportional to 67,144 and 98,860 is: 145,557.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,144 : 98,860 = 98,860 : x
  2. Step 2: Convert to fraction form
    67,144/98,860 = 98,860/x
  3. Step 3: Cross multiply
    67,144x = 98,860 × 98,860
  4. Step 4: Simplify right side
    67,144x = 9,773,299,600
  5. Step 5: Solve for x
    x = 9,773,299,600/67,144
  6. Step 6: Final answer
    x = 145,557.30

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.