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Finding the Third Proportional to 79,616 and 171,664

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Solution

The third proportional to 79,616 and 171,664 is: 370,133.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,616 : 171,664 = 171,664 : x
  2. Step 2: Convert to fraction form
    79,616/171,664 = 171,664/x
  3. Step 3: Cross multiply
    79,616x = 171,664 × 171,664
  4. Step 4: Simplify right side
    79,616x = 29,468,528,896
  5. Step 5: Solve for x
    x = 29,468,528,896/79,616
  6. Step 6: Final answer
    x = 370,133.25

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.