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Finding the Third Proportional to 100,930 and 144,834

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Solution

The third proportional to 100,930 and 144,834 is: 207,836.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,930 : 144,834 = 144,834 : x
  2. Step 2: Convert to fraction form
    100,930/144,834 = 144,834/x
  3. Step 3: Cross multiply
    100,930x = 144,834 × 144,834
  4. Step 4: Simplify right side
    100,930x = 20,976,887,556
  5. Step 5: Solve for x
    x = 20,976,887,556/100,930
  6. Step 6: Final answer
    x = 207,836.00

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.