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Finding the Third Proportional to 92,938 and 144,015

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Solution

The third proportional to 92,938 and 144,015 is: 223,162.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,938 : 144,015 = 144,015 : x
  2. Step 2: Convert to fraction form
    92,938/144,015 = 144,015/x
  3. Step 3: Cross multiply
    92,938x = 144,015 × 144,015
  4. Step 4: Simplify right side
    92,938x = 20,740,320,225
  5. Step 5: Solve for x
    x = 20,740,320,225/92,938
  6. Step 6: Final answer
    x = 223,162.97

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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.