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Finding the Third Proportional to 48,231 and 74,191.50

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Solution

The third proportional to 48,231 and 74,191.50 is: 114,125.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,231 : 74,191.50 = 74,191.50 : x
  2. Step 2: Convert to fraction form
    48,231/74,191.50 = 74,191.50/x
  3. Step 3: Cross multiply
    48,231x = 74,191.50 × 74,191.50
  4. Step 4: Simplify right side
    48,231x = 5,504,378,672.25
  5. Step 5: Solve for x
    x = 5,504,378,672.25/48,231
  6. Step 6: Final answer
    x = 114,125.33

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.