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Finding the Third Proportional to 71,138 and 164,688

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Solution

The third proportional to 71,138 and 164,688 is: 381,260.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,138 : 164,688 = 164,688 : x
  2. Step 2: Convert to fraction form
    71,138/164,688 = 164,688/x
  3. Step 3: Cross multiply
    71,138x = 164,688 × 164,688
  4. Step 4: Simplify right side
    71,138x = 27,122,137,344
  5. Step 5: Solve for x
    x = 27,122,137,344/71,138
  6. Step 6: Final answer
    x = 381,260.89

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.