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Finding the Third Proportional to 106,754 and 166,179

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Solution

The third proportional to 106,754 and 166,179 is: 258,683.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,754 : 166,179 = 166,179 : x
  2. Step 2: Convert to fraction form
    106,754/166,179 = 166,179/x
  3. Step 3: Cross multiply
    106,754x = 166,179 × 166,179
  4. Step 4: Simplify right side
    106,754x = 27,615,460,041
  5. Step 5: Solve for x
    x = 27,615,460,041/106,754
  6. Step 6: Final answer
    x = 258,683.14

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.