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Finding the Third Proportional to 60,966 and 92,529

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Solution

The third proportional to 60,966 and 92,529 is: 140,432.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,966 : 92,529 = 92,529 : x
  2. Step 2: Convert to fraction form
    60,966/92,529 = 92,529/x
  3. Step 3: Cross multiply
    60,966x = 92,529 × 92,529
  4. Step 4: Simplify right side
    60,966x = 8,561,615,841
  5. Step 5: Solve for x
    x = 8,561,615,841/60,966
  6. Step 6: Final answer
    x = 140,432.63

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.