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Finding the Third Proportional to 49,974 and 107,032

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Solution

The third proportional to 49,974 and 107,032 is: 229,236.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,974 : 107,032 = 107,032 : x
  2. Step 2: Convert to fraction form
    49,974/107,032 = 107,032/x
  3. Step 3: Cross multiply
    49,974x = 107,032 × 107,032
  4. Step 4: Simplify right side
    49,974x = 11,455,849,024
  5. Step 5: Solve for x
    x = 11,455,849,024/49,974
  6. Step 6: Final answer
    x = 229,236.18

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.