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Finding the Third Proportional to 61,405 and 91,727.25

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Solution

The third proportional to 61,405 and 91,727.25 is: 137,022.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,405 : 91,727.25 = 91,727.25 : x
  2. Step 2: Convert to fraction form
    61,405/91,727.25 = 91,727.25/x
  3. Step 3: Cross multiply
    61,405x = 91,727.25 × 91,727.25
  4. Step 4: Simplify right side
    61,405x = 8,413,888,392.56
  5. Step 5: Solve for x
    x = 8,413,888,392.56/61,405
  6. Step 6: Final answer
    x = 137,022.85

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.