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Finding the Third Proportional to 73,980 and 144,270

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Solution

The third proportional to 73,980 and 144,270 is: 281,344.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,980 : 144,270 = 144,270 : x
  2. Step 2: Convert to fraction form
    73,980/144,270 = 144,270/x
  3. Step 3: Cross multiply
    73,980x = 144,270 × 144,270
  4. Step 4: Simplify right side
    73,980x = 20,813,832,900
  5. Step 5: Solve for x
    x = 20,813,832,900/73,980
  6. Step 6: Final answer
    x = 281,344.05

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.