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Finding the Third Proportional to 99,210.75 and 149,711.25

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Solution

The third proportional to 99,210.75 and 149,711.25 is: 225,917.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,210.75 : 149,711.25 = 149,711.25 : x
  2. Step 2: Convert to fraction form
    99,210.75/149,711.25 = 149,711.25/x
  3. Step 3: Cross multiply
    99,210.75x = 149,711.25 × 149,711.25
  4. Step 4: Simplify right side
    99,210.75x = 22,413,458,376.56
  5. Step 5: Solve for x
    x = 22,413,458,376.56/99,210.75
  6. Step 6: Final answer
    x = 225,917.64

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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.