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Finding the Third Proportional to 103,669 and 146,815

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Solution

The third proportional to 103,669 and 146,815 is: 207,917.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,669 : 146,815 = 146,815 : x
  2. Step 2: Convert to fraction form
    103,669/146,815 = 146,815/x
  3. Step 3: Cross multiply
    103,669x = 146,815 × 146,815
  4. Step 4: Simplify right side
    103,669x = 21,554,644,225
  5. Step 5: Solve for x
    x = 21,554,644,225/103,669
  6. Step 6: Final answer
    x = 207,917.93

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.