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Finding the Third Proportional to 124,434 and 192,991.50

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Solution

The third proportional to 124,434 and 192,991.50 is: 299,321.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,434 : 192,991.50 = 192,991.50 : x
  2. Step 2: Convert to fraction form
    124,434/192,991.50 = 192,991.50/x
  3. Step 3: Cross multiply
    124,434x = 192,991.50 × 192,991.50
  4. Step 4: Simplify right side
    124,434x = 37,245,719,072.25
  5. Step 5: Solve for x
    x = 37,245,719,072.25/124,434
  6. Step 6: Final answer
    x = 299,321.08

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.