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Finding the Third Proportional to 64,649 and 135,154

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Solution

The third proportional to 64,649 and 135,154 is: 282,550.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,649 : 135,154 = 135,154 : x
  2. Step 2: Convert to fraction form
    64,649/135,154 = 135,154/x
  3. Step 3: Cross multiply
    64,649x = 135,154 × 135,154
  4. Step 4: Simplify right side
    64,649x = 18,266,603,716
  5. Step 5: Solve for x
    x = 18,266,603,716/64,649
  6. Step 6: Final answer
    x = 282,550.44

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.