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Finding the Third Proportional to 76,693.50 and 167,595.75

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Solution

The third proportional to 76,693.50 and 167,595.75 is: 366,241.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,693.50 : 167,595.75 = 167,595.75 : x
  2. Step 2: Convert to fraction form
    76,693.50/167,595.75 = 167,595.75/x
  3. Step 3: Cross multiply
    76,693.50x = 167,595.75 × 167,595.75
  4. Step 4: Simplify right side
    76,693.50x = 28,088,335,418.06
  5. Step 5: Solve for x
    x = 28,088,335,418.06/76,693.50
  6. Step 6: Final answer
    x = 366,241.41

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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.