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Finding the Third Proportional to 75,083 and 164,932

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Solution

The third proportional to 75,083 and 164,932 is: 362,299.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,083 : 164,932 = 164,932 : x
  2. Step 2: Convert to fraction form
    75,083/164,932 = 164,932/x
  3. Step 3: Cross multiply
    75,083x = 164,932 × 164,932
  4. Step 4: Simplify right side
    75,083x = 27,202,564,624
  5. Step 5: Solve for x
    x = 27,202,564,624/75,083
  6. Step 6: Final answer
    x = 362,299.92

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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.