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Finding the Third Proportional to 73,996 and 157,164

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Solution

The third proportional to 73,996 and 157,164 is: 333,808.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,996 : 157,164 = 157,164 : x
  2. Step 2: Convert to fraction form
    73,996/157,164 = 157,164/x
  3. Step 3: Cross multiply
    73,996x = 157,164 × 157,164
  4. Step 4: Simplify right side
    73,996x = 24,700,522,896
  5. Step 5: Solve for x
    x = 24,700,522,896/73,996
  6. Step 6: Final answer
    x = 333,808.89

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.