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Finding the Third Proportional to 76,616 and 164,896

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Solution

The third proportional to 76,616 and 164,896 is: 354,895.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,616 : 164,896 = 164,896 : x
  2. Step 2: Convert to fraction form
    76,616/164,896 = 164,896/x
  3. Step 3: Cross multiply
    76,616x = 164,896 × 164,896
  4. Step 4: Simplify right side
    76,616x = 27,190,690,816
  5. Step 5: Solve for x
    x = 27,190,690,816/76,616
  6. Step 6: Final answer
    x = 354,895.72

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.