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Finding the Third Proportional to 60,766 and 81,803

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Solution

The third proportional to 60,766 and 81,803 is: 110,122.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,766 : 81,803 = 81,803 : x
  2. Step 2: Convert to fraction form
    60,766/81,803 = 81,803/x
  3. Step 3: Cross multiply
    60,766x = 81,803 × 81,803
  4. Step 4: Simplify right side
    60,766x = 6,691,730,809
  5. Step 5: Solve for x
    x = 6,691,730,809/60,766
  6. Step 6: Final answer
    x = 110,122.94

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.