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Finding the Third Proportional to 91,922 and 144,456

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Solution

The third proportional to 91,922 and 144,456 is: 227,013.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,922 : 144,456 = 144,456 : x
  2. Step 2: Convert to fraction form
    91,922/144,456 = 144,456/x
  3. Step 3: Cross multiply
    91,922x = 144,456 × 144,456
  4. Step 4: Simplify right side
    91,922x = 20,867,535,936
  5. Step 5: Solve for x
    x = 20,867,535,936/91,922
  6. Step 6: Final answer
    x = 227,013.51

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.