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Finding the Third Proportional to 71,574 and 164,883

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Solution

The third proportional to 71,574 and 164,883 is: 379,836.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,574 : 164,883 = 164,883 : x
  2. Step 2: Convert to fraction form
    71,574/164,883 = 164,883/x
  3. Step 3: Cross multiply
    71,574x = 164,883 × 164,883
  4. Step 4: Simplify right side
    71,574x = 27,186,403,689
  5. Step 5: Solve for x
    x = 27,186,403,689/71,574
  6. Step 6: Final answer
    x = 379,836.30

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.