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Finding the Third Proportional to 73,859 and 104,514

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Solution

The third proportional to 73,859 and 104,514 is: 147,892.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,859 : 104,514 = 104,514 : x
  2. Step 2: Convert to fraction form
    73,859/104,514 = 104,514/x
  3. Step 3: Cross multiply
    73,859x = 104,514 × 104,514
  4. Step 4: Simplify right side
    73,859x = 10,923,176,196
  5. Step 5: Solve for x
    x = 10,923,176,196/73,859
  6. Step 6: Final answer
    x = 147,892.28

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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.