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Finding the Third Proportional to 124,434 and 191,369.25

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Solution

The third proportional to 124,434 and 191,369.25 is: 294,310.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,434 : 191,369.25 = 191,369.25 : x
  2. Step 2: Convert to fraction form
    124,434/191,369.25 = 191,369.25/x
  3. Step 3: Cross multiply
    124,434x = 191,369.25 × 191,369.25
  4. Step 4: Simplify right side
    124,434x = 36,622,189,845.56
  5. Step 5: Solve for x
    x = 36,622,189,845.56/124,434
  6. Step 6: Final answer
    x = 294,310.16

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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.