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Finding the Third Proportional to 43,762 and 95,544

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Solution

The third proportional to 43,762 and 95,544 is: 208,597.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,762 : 95,544 = 95,544 : x
  2. Step 2: Convert to fraction form
    43,762/95,544 = 95,544/x
  3. Step 3: Cross multiply
    43,762x = 95,544 × 95,544
  4. Step 4: Simplify right side
    43,762x = 9,128,655,936
  5. Step 5: Solve for x
    x = 9,128,655,936/43,762
  6. Step 6: Final answer
    x = 208,597.78

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.