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Finding the Third Proportional to 75,431 and 148,936

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Solution

The third proportional to 75,431 and 148,936 is: 294,069.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,431 : 148,936 = 148,936 : x
  2. Step 2: Convert to fraction form
    75,431/148,936 = 148,936/x
  3. Step 3: Cross multiply
    75,431x = 148,936 × 148,936
  4. Step 4: Simplify right side
    75,431x = 22,181,932,096
  5. Step 5: Solve for x
    x = 22,181,932,096/75,431
  6. Step 6: Final answer
    x = 294,069.18

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These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.