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Finding the Third Proportional to 106,840 and 166,090

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Solution

The third proportional to 106,840 and 166,090 is: 258,198.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,840 : 166,090 = 166,090 : x
  2. Step 2: Convert to fraction form
    106,840/166,090 = 166,090/x
  3. Step 3: Cross multiply
    106,840x = 166,090 × 166,090
  4. Step 4: Simplify right side
    106,840x = 27,585,888,100
  5. Step 5: Solve for x
    x = 27,585,888,100/106,840
  6. Step 6: Final answer
    x = 258,198.13

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.