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Finding the Third Proportional to 76,837.50 and 167,685

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Solution

The third proportional to 76,837.50 and 167,685 is: 365,944.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,837.50 : 167,685 = 167,685 : x
  2. Step 2: Convert to fraction form
    76,837.50/167,685 = 167,685/x
  3. Step 3: Cross multiply
    76,837.50x = 167,685 × 167,685
  4. Step 4: Simplify right side
    76,837.50x = 28,118,259,225
  5. Step 5: Solve for x
    x = 28,118,259,225/76,837.50
  6. Step 6: Final answer
    x = 365,944.48

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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.