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Finding the Third Proportional to 54,966 and 77,649

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Solution

The third proportional to 54,966 and 77,649 is: 109,692.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,966 : 77,649 = 77,649 : x
  2. Step 2: Convert to fraction form
    54,966/77,649 = 77,649/x
  3. Step 3: Cross multiply
    54,966x = 77,649 × 77,649
  4. Step 4: Simplify right side
    54,966x = 6,029,367,201
  5. Step 5: Solve for x
    x = 6,029,367,201/54,966
  6. Step 6: Final answer
    x = 109,692.67

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.