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Finding the Third Proportional to 123,474 and 190,341.75

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Solution

The third proportional to 123,474 and 190,341.75 is: 293,421.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,474 : 190,341.75 = 190,341.75 : x
  2. Step 2: Convert to fraction form
    123,474/190,341.75 = 190,341.75/x
  3. Step 3: Cross multiply
    123,474x = 190,341.75 × 190,341.75
  4. Step 4: Simplify right side
    123,474x = 36,229,981,793.06
  5. Step 5: Solve for x
    x = 36,229,981,793.06/123,474
  6. Step 6: Final answer
    x = 293,421.95

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