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Finding the Third Proportional to 99,801 and 150,737

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Solution

The third proportional to 99,801 and 150,737 is: 227,669.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,801 : 150,737 = 150,737 : x
  2. Step 2: Convert to fraction form
    99,801/150,737 = 150,737/x
  3. Step 3: Cross multiply
    99,801x = 150,737 × 150,737
  4. Step 4: Simplify right side
    99,801x = 22,721,643,169
  5. Step 5: Solve for x
    x = 22,721,643,169/99,801
  6. Step 6: Final answer
    x = 227,669.49

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.