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Finding the Third Proportional to 66,936 and 144,762

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Solution

The third proportional to 66,936 and 144,762 is: 313,075.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,936 : 144,762 = 144,762 : x
  2. Step 2: Convert to fraction form
    66,936/144,762 = 144,762/x
  3. Step 3: Cross multiply
    66,936x = 144,762 × 144,762
  4. Step 4: Simplify right side
    66,936x = 20,956,036,644
  5. Step 5: Solve for x
    x = 20,956,036,644/66,936
  6. Step 6: Final answer
    x = 313,075.72

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.