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Finding the Third Proportional to 59,904 and 127,818

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Solution

The third proportional to 59,904 and 127,818 is: 272,727.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,904 : 127,818 = 127,818 : x
  2. Step 2: Convert to fraction form
    59,904/127,818 = 127,818/x
  3. Step 3: Cross multiply
    59,904x = 127,818 × 127,818
  4. Step 4: Simplify right side
    59,904x = 16,337,441,124
  5. Step 5: Solve for x
    x = 16,337,441,124/59,904
  6. Step 6: Final answer
    x = 272,727.05

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.