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Finding the Third Proportional to 76,656 and 167,562

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Solution

The third proportional to 76,656 and 167,562 is: 366,273.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,656 : 167,562 = 167,562 : x
  2. Step 2: Convert to fraction form
    76,656/167,562 = 167,562/x
  3. Step 3: Cross multiply
    76,656x = 167,562 × 167,562
  4. Step 4: Simplify right side
    76,656x = 28,077,023,844
  5. Step 5: Solve for x
    x = 28,077,023,844/76,656
  6. Step 6: Final answer
    x = 366,273.01

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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.