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Finding the Third Proportional to 67,164 and 141,225

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Solution

The third proportional to 67,164 and 141,225 is: 296,952.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,164 : 141,225 = 141,225 : x
  2. Step 2: Convert to fraction form
    67,164/141,225 = 141,225/x
  3. Step 3: Cross multiply
    67,164x = 141,225 × 141,225
  4. Step 4: Simplify right side
    67,164x = 19,944,500,625
  5. Step 5: Solve for x
    x = 19,944,500,625/67,164
  6. Step 6: Final answer
    x = 296,952.25

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.