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Finding the Third Proportional to 99,296.75 and 149,872

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Solution

The third proportional to 99,296.75 and 149,872 is: 226,206.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,296.75 : 149,872 = 149,872 : x
  2. Step 2: Convert to fraction form
    99,296.75/149,872 = 149,872/x
  3. Step 3: Cross multiply
    99,296.75x = 149,872 × 149,872
  4. Step 4: Simplify right side
    99,296.75x = 22,461,616,384
  5. Step 5: Solve for x
    x = 22,461,616,384/99,296.75
  6. Step 6: Final answer
    x = 226,206.96

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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.