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Finding the Third Proportional to 52,533 and 76,551

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Solution

The third proportional to 52,533 and 76,551 is: 111,549.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,533 : 76,551 = 76,551 : x
  2. Step 2: Convert to fraction form
    52,533/76,551 = 76,551/x
  3. Step 3: Cross multiply
    52,533x = 76,551 × 76,551
  4. Step 4: Simplify right side
    52,533x = 5,860,055,601
  5. Step 5: Solve for x
    x = 5,860,055,601/52,533
  6. Step 6: Final answer
    x = 111,549.99

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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.