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Finding the Third Proportional to 106,670 and 165,207

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Solution

The third proportional to 106,670 and 165,207 is: 255,867.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,670 : 165,207 = 165,207 : x
  2. Step 2: Convert to fraction form
    106,670/165,207 = 165,207/x
  3. Step 3: Cross multiply
    106,670x = 165,207 × 165,207
  4. Step 4: Simplify right side
    106,670x = 27,293,352,849
  5. Step 5: Solve for x
    x = 27,293,352,849/106,670
  6. Step 6: Final answer
    x = 255,867.19

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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.