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Finding the Third Proportional to 47,065 and 91,765.75

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Solution

The third proportional to 47,065 and 91,765.75 is: 178,921.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,065 : 91,765.75 = 91,765.75 : x
  2. Step 2: Convert to fraction form
    47,065/91,765.75 = 91,765.75/x
  3. Step 3: Cross multiply
    47,065x = 91,765.75 × 91,765.75
  4. Step 4: Simplify right side
    47,065x = 8,420,952,873.06
  5. Step 5: Solve for x
    x = 8,420,952,873.06/47,065
  6. Step 6: Final answer
    x = 178,921.77

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.