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Finding the Third Proportional to 99,442 and 149,851

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Solution

The third proportional to 99,442 and 149,851 is: 225,813.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,442 : 149,851 = 149,851 : x
  2. Step 2: Convert to fraction form
    99,442/149,851 = 149,851/x
  3. Step 3: Cross multiply
    99,442x = 149,851 × 149,851
  4. Step 4: Simplify right side
    99,442x = 22,455,322,201
  5. Step 5: Solve for x
    x = 22,455,322,201/99,442
  6. Step 6: Final answer
    x = 225,813.26

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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.