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Finding the Third Proportional to 135,888.75 and 199,152

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Solution

The third proportional to 135,888.75 and 199,152 is: 291,867.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,888.75 : 199,152 = 199,152 : x
  2. Step 2: Convert to fraction form
    135,888.75/199,152 = 199,152/x
  3. Step 3: Cross multiply
    135,888.75x = 199,152 × 199,152
  4. Step 4: Simplify right side
    135,888.75x = 39,661,519,104
  5. Step 5: Solve for x
    x = 39,661,519,104/135,888.75
  6. Step 6: Final answer
    x = 291,867.57

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.