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Finding the Third Proportional to 75,644 and 164,552

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Solution

The third proportional to 75,644 and 164,552 is: 357,957.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,644 : 164,552 = 164,552 : x
  2. Step 2: Convert to fraction form
    75,644/164,552 = 164,552/x
  3. Step 3: Cross multiply
    75,644x = 164,552 × 164,552
  4. Step 4: Simplify right side
    75,644x = 27,077,360,704
  5. Step 5: Solve for x
    x = 27,077,360,704/75,644
  6. Step 6: Final answer
    x = 357,957.81

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.