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Finding the Third Proportional to 106,920 and 165,537

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Solution

The third proportional to 106,920 and 165,537 is: 256,289.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,920 : 165,537 = 165,537 : x
  2. Step 2: Convert to fraction form
    106,920/165,537 = 165,537/x
  3. Step 3: Cross multiply
    106,920x = 165,537 × 165,537
  4. Step 4: Simplify right side
    106,920x = 27,402,498,369
  5. Step 5: Solve for x
    x = 27,402,498,369/106,920
  6. Step 6: Final answer
    x = 256,289.73

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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.