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Finding the Third Proportional to 52,522 and 76,525

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Solution

The third proportional to 52,522 and 76,525 is: 111,497.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,522 : 76,525 = 76,525 : x
  2. Step 2: Convert to fraction form
    52,522/76,525 = 76,525/x
  3. Step 3: Cross multiply
    52,522x = 76,525 × 76,525
  4. Step 4: Simplify right side
    52,522x = 5,856,075,625
  5. Step 5: Solve for x
    x = 5,856,075,625/52,522
  6. Step 6: Final answer
    x = 111,497.57

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.