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Finding the Third Proportional to 49,762 and 74,611

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Solution

The third proportional to 49,762 and 74,611 is: 111,868.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,762 : 74,611 = 74,611 : x
  2. Step 2: Convert to fraction form
    49,762/74,611 = 74,611/x
  3. Step 3: Cross multiply
    49,762x = 74,611 × 74,611
  4. Step 4: Simplify right side
    49,762x = 5,566,801,321
  5. Step 5: Solve for x
    x = 5,566,801,321/49,762
  6. Step 6: Final answer
    x = 111,868.52

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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.