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Finding the Third Proportional to 75,713 and 164,683

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Solution

The third proportional to 75,713 and 164,683 is: 358,201.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,713 : 164,683 = 164,683 : x
  2. Step 2: Convert to fraction form
    75,713/164,683 = 164,683/x
  3. Step 3: Cross multiply
    75,713x = 164,683 × 164,683
  4. Step 4: Simplify right side
    75,713x = 27,120,490,489
  5. Step 5: Solve for x
    x = 27,120,490,489/75,713
  6. Step 6: Final answer
    x = 358,201.24

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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.