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Finding the Third Proportional to 106,704 and 167,382

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Solution

The third proportional to 106,704 and 167,382 is: 262,564.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,704 : 167,382 = 167,382 : x
  2. Step 2: Convert to fraction form
    106,704/167,382 = 167,382/x
  3. Step 3: Cross multiply
    106,704x = 167,382 × 167,382
  4. Step 4: Simplify right side
    106,704x = 28,016,733,924
  5. Step 5: Solve for x
    x = 28,016,733,924/106,704
  6. Step 6: Final answer
    x = 262,564.98

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.