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Finding the Third Proportional to 77,526 and 166,884

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Solution

The third proportional to 77,526 and 166,884 is: 359,237.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,526 : 166,884 = 166,884 : x
  2. Step 2: Convert to fraction form
    77,526/166,884 = 166,884/x
  3. Step 3: Cross multiply
    77,526x = 166,884 × 166,884
  4. Step 4: Simplify right side
    77,526x = 27,850,269,456
  5. Step 5: Solve for x
    x = 27,850,269,456/77,526
  6. Step 6: Final answer
    x = 359,237.80

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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.