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Finding the Third Proportional to 96,131 and 207,053

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Solution

The third proportional to 96,131 and 207,053 is: 445,963.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,131 : 207,053 = 207,053 : x
  2. Step 2: Convert to fraction form
    96,131/207,053 = 207,053/x
  3. Step 3: Cross multiply
    96,131x = 207,053 × 207,053
  4. Step 4: Simplify right side
    96,131x = 42,870,944,809
  5. Step 5: Solve for x
    x = 42,870,944,809/96,131
  6. Step 6: Final answer
    x = 445,963.79

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.