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Finding the Third Proportional to 59,384 and 121,188

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Solution

The third proportional to 59,384 and 121,188 is: 247,314.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,384 : 121,188 = 121,188 : x
  2. Step 2: Convert to fraction form
    59,384/121,188 = 121,188/x
  3. Step 3: Cross multiply
    59,384x = 121,188 × 121,188
  4. Step 4: Simplify right side
    59,384x = 14,686,531,344
  5. Step 5: Solve for x
    x = 14,686,531,344/59,384
  6. Step 6: Final answer
    x = 247,314.62

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.