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Finding the Third Proportional to 73,636 and 157,124

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Solution

The third proportional to 73,636 and 157,124 is: 335,270.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,636 : 157,124 = 157,124 : x
  2. Step 2: Convert to fraction form
    73,636/157,124 = 157,124/x
  3. Step 3: Cross multiply
    73,636x = 157,124 × 157,124
  4. Step 4: Simplify right side
    73,636x = 24,687,951,376
  5. Step 5: Solve for x
    x = 24,687,951,376/73,636
  6. Step 6: Final answer
    x = 335,270.13

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.