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Finding the Third Proportional to 61,515 and 80,773

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Solution

The third proportional to 61,515 and 80,773 is: 106,059.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,515 : 80,773 = 80,773 : x
  2. Step 2: Convert to fraction form
    61,515/80,773 = 80,773/x
  3. Step 3: Cross multiply
    61,515x = 80,773 × 80,773
  4. Step 4: Simplify right side
    61,515x = 6,524,277,529
  5. Step 5: Solve for x
    x = 6,524,277,529/61,515
  6. Step 6: Final answer
    x = 106,059.95

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These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.