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Finding the Third Proportional to 59,170 and 127,818

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Solution

The third proportional to 59,170 and 127,818 is: 276,110.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,170 : 127,818 = 127,818 : x
  2. Step 2: Convert to fraction form
    59,170/127,818 = 127,818/x
  3. Step 3: Cross multiply
    59,170x = 127,818 × 127,818
  4. Step 4: Simplify right side
    59,170x = 16,337,441,124
  5. Step 5: Solve for x
    x = 16,337,441,124/59,170
  6. Step 6: Final answer
    x = 276,110.21

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.