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Finding the Third Proportional to 49,372 and 106,514

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Solution

The third proportional to 49,372 and 106,514 is: 229,790.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,372 : 106,514 = 106,514 : x
  2. Step 2: Convert to fraction form
    49,372/106,514 = 106,514/x
  3. Step 3: Cross multiply
    49,372x = 106,514 × 106,514
  4. Step 4: Simplify right side
    49,372x = 11,345,232,196
  5. Step 5: Solve for x
    x = 11,345,232,196/49,372
  6. Step 6: Final answer
    x = 229,790.82

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.