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Finding the Third Proportional to 59,186 and 128,818

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Solution

The third proportional to 59,186 and 128,818 is: 280,371.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,186 : 128,818 = 128,818 : x
  2. Step 2: Convert to fraction form
    59,186/128,818 = 128,818/x
  3. Step 3: Cross multiply
    59,186x = 128,818 × 128,818
  4. Step 4: Simplify right side
    59,186x = 16,594,077,124
  5. Step 5: Solve for x
    x = 16,594,077,124/59,186
  6. Step 6: Final answer
    x = 280,371.66

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.