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Finding the Third Proportional to 73,100 and 157,288

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Solution

The third proportional to 73,100 and 157,288 is: 338,433.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,100 : 157,288 = 157,288 : x
  2. Step 2: Convert to fraction form
    73,100/157,288 = 157,288/x
  3. Step 3: Cross multiply
    73,100x = 157,288 × 157,288
  4. Step 4: Simplify right side
    73,100x = 24,739,514,944
  5. Step 5: Solve for x
    x = 24,739,514,944/73,100
  6. Step 6: Final answer
    x = 338,433.86

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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.