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Finding the Third Proportional to 99,655 and 166,091

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Solution

The third proportional to 99,655 and 166,091 is: 276,817.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,655 : 166,091 = 166,091 : x
  2. Step 2: Convert to fraction form
    99,655/166,091 = 166,091/x
  3. Step 3: Cross multiply
    99,655x = 166,091 × 166,091
  4. Step 4: Simplify right side
    99,655x = 27,586,220,281
  5. Step 5: Solve for x
    x = 27,586,220,281/99,655
  6. Step 6: Final answer
    x = 276,817.22

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.