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Finding the Third Proportional to 99,227.25 and 149,762.25

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Solution

The third proportional to 99,227.25 and 149,762.25 is: 226,033.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,227.25 : 149,762.25 = 149,762.25 : x
  2. Step 2: Convert to fraction form
    99,227.25/149,762.25 = 149,762.25/x
  3. Step 3: Cross multiply
    99,227.25x = 149,762.25 × 149,762.25
  4. Step 4: Simplify right side
    99,227.25x = 22,428,731,525.06
  5. Step 5: Solve for x
    x = 22,428,731,525.06/99,227.25
  6. Step 6: Final answer
    x = 226,033.99

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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.