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Finding the Third Proportional to 88,616 and 131,644

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Solution

The third proportional to 88,616 and 131,644 is: 195,564.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,616 : 131,644 = 131,644 : x
  2. Step 2: Convert to fraction form
    88,616/131,644 = 131,644/x
  3. Step 3: Cross multiply
    88,616x = 131,644 × 131,644
  4. Step 4: Simplify right side
    88,616x = 17,330,142,736
  5. Step 5: Solve for x
    x = 17,330,142,736/88,616
  6. Step 6: Final answer
    x = 195,564.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.