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Finding the Third Proportional to 106,820 and 166,062

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Solution

The third proportional to 106,820 and 166,062 is: 258,159.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,820 : 166,062 = 166,062 : x
  2. Step 2: Convert to fraction form
    106,820/166,062 = 166,062/x
  3. Step 3: Cross multiply
    106,820x = 166,062 × 166,062
  4. Step 4: Simplify right side
    106,820x = 27,576,587,844
  5. Step 5: Solve for x
    x = 27,576,587,844/106,820
  6. Step 6: Final answer
    x = 258,159.41

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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.