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Finding the Third Proportional to 89,828 and 140,911

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Solution

The third proportional to 89,828 and 140,911 is: 221,043.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,828 : 140,911 = 140,911 : x
  2. Step 2: Convert to fraction form
    89,828/140,911 = 140,911/x
  3. Step 3: Cross multiply
    89,828x = 140,911 × 140,911
  4. Step 4: Simplify right side
    89,828x = 19,855,909,921
  5. Step 5: Solve for x
    x = 19,855,909,921/89,828
  6. Step 6: Final answer
    x = 221,043.66

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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.