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Finding the Third Proportional to 58,364 and 113,811

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Solution

The third proportional to 58,364 and 113,811 is: 221,933.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,364 : 113,811 = 113,811 : x
  2. Step 2: Convert to fraction form
    58,364/113,811 = 113,811/x
  3. Step 3: Cross multiply
    58,364x = 113,811 × 113,811
  4. Step 4: Simplify right side
    58,364x = 12,952,943,721
  5. Step 5: Solve for x
    x = 12,952,943,721/58,364
  6. Step 6: Final answer
    x = 221,933.79

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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.