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Finding the Third Proportional to 91,759 and 202,143.75

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Solution

The third proportional to 91,759 and 202,143.75 is: 445,319.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,759 : 202,143.75 = 202,143.75 : x
  2. Step 2: Convert to fraction form
    91,759/202,143.75 = 202,143.75/x
  3. Step 3: Cross multiply
    91,759x = 202,143.75 × 202,143.75
  4. Step 4: Simplify right side
    91,759x = 40,862,095,664.06
  5. Step 5: Solve for x
    x = 40,862,095,664.06/91,759
  6. Step 6: Final answer
    x = 445,319.76

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.