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Finding the Third Proportional to 50,337 and 70,562

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Solution

The third proportional to 50,337 and 70,562 is: 98,913.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,337 : 70,562 = 70,562 : x
  2. Step 2: Convert to fraction form
    50,337/70,562 = 70,562/x
  3. Step 3: Cross multiply
    50,337x = 70,562 × 70,562
  4. Step 4: Simplify right side
    50,337x = 4,978,995,844
  5. Step 5: Solve for x
    x = 4,978,995,844/50,337
  6. Step 6: Final answer
    x = 98,913.24

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.