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Finding the Third Proportional to 77,614 and 167,620

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Solution

The third proportional to 77,614 and 167,620 is: 362,002.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,614 : 167,620 = 167,620 : x
  2. Step 2: Convert to fraction form
    77,614/167,620 = 167,620/x
  3. Step 3: Cross multiply
    77,614x = 167,620 × 167,620
  4. Step 4: Simplify right side
    77,614x = 28,096,464,400
  5. Step 5: Solve for x
    x = 28,096,464,400/77,614
  6. Step 6: Final answer
    x = 362,002.53

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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.