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Finding the Third Proportional to 106,986 and 165,572

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Solution

The third proportional to 106,986 and 165,572 is: 256,239.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,986 : 165,572 = 165,572 : x
  2. Step 2: Convert to fraction form
    106,986/165,572 = 165,572/x
  3. Step 3: Cross multiply
    106,986x = 165,572 × 165,572
  4. Step 4: Simplify right side
    106,986x = 27,414,087,184
  5. Step 5: Solve for x
    x = 27,414,087,184/106,986
  6. Step 6: Final answer
    x = 256,239.95

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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.