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Finding the Third Proportional to 99,741 and 149,712

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Solution

The third proportional to 99,741 and 149,712 is: 224,718.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,741 : 149,712 = 149,712 : x
  2. Step 2: Convert to fraction form
    99,741/149,712 = 149,712/x
  3. Step 3: Cross multiply
    99,741x = 149,712 × 149,712
  4. Step 4: Simplify right side
    99,741x = 22,413,682,944
  5. Step 5: Solve for x
    x = 22,413,682,944/99,741
  6. Step 6: Final answer
    x = 224,718.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.