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Finding the Third Proportional to 75,024 and 164,952

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Solution

The third proportional to 75,024 and 164,952 is: 362,672.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,024 : 164,952 = 164,952 : x
  2. Step 2: Convert to fraction form
    75,024/164,952 = 164,952/x
  3. Step 3: Cross multiply
    75,024x = 164,952 × 164,952
  4. Step 4: Simplify right side
    75,024x = 27,209,162,304
  5. Step 5: Solve for x
    x = 27,209,162,304/75,024
  6. Step 6: Final answer
    x = 362,672.78

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.