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Finding the Third Proportional to 75,583 and 164,982

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Solution

The third proportional to 75,583 and 164,982 is: 360,121.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,583 : 164,982 = 164,982 : x
  2. Step 2: Convert to fraction form
    75,583/164,982 = 164,982/x
  3. Step 3: Cross multiply
    75,583x = 164,982 × 164,982
  4. Step 4: Simplify right side
    75,583x = 27,219,060,324
  5. Step 5: Solve for x
    x = 27,219,060,324/75,583
  6. Step 6: Final answer
    x = 360,121.46

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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.