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Finding the Third Proportional to 49,372 and 70,552

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Solution

The third proportional to 49,372 and 70,552 is: 100,817.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,372 : 70,552 = 70,552 : x
  2. Step 2: Convert to fraction form
    49,372/70,552 = 70,552/x
  3. Step 3: Cross multiply
    49,372x = 70,552 × 70,552
  4. Step 4: Simplify right side
    49,372x = 4,977,584,704
  5. Step 5: Solve for x
    x = 4,977,584,704/49,372
  6. Step 6: Final answer
    x = 100,817.97

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.