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Finding the Third Proportional to 31,356 and 61,141

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Solution

The third proportional to 31,356 and 61,141 is: 119,218.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,356 : 61,141 = 61,141 : x
  2. Step 2: Convert to fraction form
    31,356/61,141 = 61,141/x
  3. Step 3: Cross multiply
    31,356x = 61,141 × 61,141
  4. Step 4: Simplify right side
    31,356x = 3,738,221,881
  5. Step 5: Solve for x
    x = 3,738,221,881/31,356
  6. Step 6: Final answer
    x = 119,218.71

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.