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Finding the Third Proportional to 66,098 and 94,225

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Solution

The third proportional to 66,098 and 94,225 is: 134,321.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,098 : 94,225 = 94,225 : x
  2. Step 2: Convert to fraction form
    66,098/94,225 = 94,225/x
  3. Step 3: Cross multiply
    66,098x = 94,225 × 94,225
  4. Step 4: Simplify right side
    66,098x = 8,878,350,625
  5. Step 5: Solve for x
    x = 8,878,350,625/66,098
  6. Step 6: Final answer
    x = 134,321.02

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.