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Finding the Third Proportional to 73,143 and 133,713

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Solution

The third proportional to 73,143 and 133,713 is: 244,441.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,143 : 133,713 = 133,713 : x
  2. Step 2: Convert to fraction form
    73,143/133,713 = 133,713/x
  3. Step 3: Cross multiply
    73,143x = 133,713 × 133,713
  4. Step 4: Simplify right side
    73,143x = 17,879,166,369
  5. Step 5: Solve for x
    x = 17,879,166,369/73,143
  6. Step 6: Final answer
    x = 244,441.25

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Why These Related Problems?

These problems maintain the same ratio (1.83) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.