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Finding the Third Proportional to 89,844 and 149,727

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Solution

The third proportional to 89,844 and 149,727 is: 249,523.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,844 : 149,727 = 149,727 : x
  2. Step 2: Convert to fraction form
    89,844/149,727 = 149,727/x
  3. Step 3: Cross multiply
    89,844x = 149,727 × 149,727
  4. Step 4: Simplify right side
    89,844x = 22,418,174,529
  5. Step 5: Solve for x
    x = 22,418,174,529/89,844
  6. Step 6: Final answer
    x = 249,523.34

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.