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Finding the Third Proportional to 73,035 and 157,167

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Solution

The third proportional to 73,035 and 157,167 is: 338,214.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,035 : 157,167 = 157,167 : x
  2. Step 2: Convert to fraction form
    73,035/157,167 = 157,167/x
  3. Step 3: Cross multiply
    73,035x = 157,167 × 157,167
  4. Step 4: Simplify right side
    73,035x = 24,701,465,889
  5. Step 5: Solve for x
    x = 24,701,465,889/73,035
  6. Step 6: Final answer
    x = 338,214.09

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.