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Finding the Third Proportional to 47,538.75 and 94,226.25

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Solution

The third proportional to 47,538.75 and 94,226.25 is: 186,765.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,538.75 : 94,226.25 = 94,226.25 : x
  2. Step 2: Convert to fraction form
    47,538.75/94,226.25 = 94,226.25/x
  3. Step 3: Cross multiply
    47,538.75x = 94,226.25 × 94,226.25
  4. Step 4: Simplify right side
    47,538.75x = 8,878,586,189.06
  5. Step 5: Solve for x
    x = 8,878,586,189.06/47,538.75
  6. Step 6: Final answer
    x = 186,765.24

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Why These Related Problems?

These problems maintain the same ratio (1.98) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.