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Finding the Third Proportional to 71,152 and 164,704

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Solution

The third proportional to 71,152 and 164,704 is: 381,259.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,152 : 164,704 = 164,704 : x
  2. Step 2: Convert to fraction form
    71,152/164,704 = 164,704/x
  3. Step 3: Cross multiply
    71,152x = 164,704 × 164,704
  4. Step 4: Simplify right side
    71,152x = 27,127,407,616
  5. Step 5: Solve for x
    x = 27,127,407,616/71,152
  6. Step 6: Final answer
    x = 381,259.95

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.