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Finding the Third Proportional to 52,992 and 76,628

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Solution

The third proportional to 52,992 and 76,628 is: 110,806.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,992 : 76,628 = 76,628 : x
  2. Step 2: Convert to fraction form
    52,992/76,628 = 76,628/x
  3. Step 3: Cross multiply
    52,992x = 76,628 × 76,628
  4. Step 4: Simplify right side
    52,992x = 5,871,850,384
  5. Step 5: Solve for x
    x = 5,871,850,384/52,992
  6. Step 6: Final answer
    x = 110,806.36

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.