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Finding the Third Proportional to 76,642 and 167,814

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Solution

The third proportional to 76,642 and 167,814 is: 367,442.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,642 : 167,814 = 167,814 : x
  2. Step 2: Convert to fraction form
    76,642/167,814 = 167,814/x
  3. Step 3: Cross multiply
    76,642x = 167,814 × 167,814
  4. Step 4: Simplify right side
    76,642x = 28,161,538,596
  5. Step 5: Solve for x
    x = 28,161,538,596/76,642
  6. Step 6: Final answer
    x = 367,442.64

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.