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Finding the Third Proportional to 75,642 and 164,548

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Solution

The third proportional to 75,642 and 164,548 is: 357,949.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,642 : 164,548 = 164,548 : x
  2. Step 2: Convert to fraction form
    75,642/164,548 = 164,548/x
  3. Step 3: Cross multiply
    75,642x = 164,548 × 164,548
  4. Step 4: Simplify right side
    75,642x = 27,076,044,304
  5. Step 5: Solve for x
    x = 27,076,044,304/75,642
  6. Step 6: Final answer
    x = 357,949.87

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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.