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Finding the Third Proportional to 106,836 and 166,080

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Solution

The third proportional to 106,836 and 166,080 is: 258,176.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,836 : 166,080 = 166,080 : x
  2. Step 2: Convert to fraction form
    106,836/166,080 = 166,080/x
  3. Step 3: Cross multiply
    106,836x = 166,080 × 166,080
  4. Step 4: Simplify right side
    106,836x = 27,582,566,400
  5. Step 5: Solve for x
    x = 27,582,566,400/106,836
  6. Step 6: Final answer
    x = 258,176.70

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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.