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Finding the Third Proportional to 73,471 and 165,655

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Solution

The third proportional to 73,471 and 165,655 is: 373,502.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,471 : 165,655 = 165,655 : x
  2. Step 2: Convert to fraction form
    73,471/165,655 = 165,655/x
  3. Step 3: Cross multiply
    73,471x = 165,655 × 165,655
  4. Step 4: Simplify right side
    73,471x = 27,441,579,025
  5. Step 5: Solve for x
    x = 27,441,579,025/73,471
  6. Step 6: Final answer
    x = 373,502.18

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.