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Finding the Third Proportional to 103,416 and 165,923

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Solution

The third proportional to 103,416 and 165,923 is: 266,210.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,416 : 165,923 = 165,923 : x
  2. Step 2: Convert to fraction form
    103,416/165,923 = 165,923/x
  3. Step 3: Cross multiply
    103,416x = 165,923 × 165,923
  4. Step 4: Simplify right side
    103,416x = 27,530,441,929
  5. Step 5: Solve for x
    x = 27,530,441,929/103,416
  6. Step 6: Final answer
    x = 266,210.66

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.