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Finding the Third Proportional to 50,372 and 75,566

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Solution

The third proportional to 50,372 and 75,566 is: 113,361.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,372 : 75,566 = 75,566 : x
  2. Step 2: Convert to fraction form
    50,372/75,566 = 75,566/x
  3. Step 3: Cross multiply
    50,372x = 75,566 × 75,566
  4. Step 4: Simplify right side
    50,372x = 5,710,220,356
  5. Step 5: Solve for x
    x = 5,710,220,356/50,372
  6. Step 6: Final answer
    x = 113,361.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.