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Finding the Third Proportional to 58,446 and 127,827

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Solution

The third proportional to 58,446 and 127,827 is: 279,569.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,446 : 127,827 = 127,827 : x
  2. Step 2: Convert to fraction form
    58,446/127,827 = 127,827/x
  3. Step 3: Cross multiply
    58,446x = 127,827 × 127,827
  4. Step 4: Simplify right side
    58,446x = 16,339,741,929
  5. Step 5: Solve for x
    x = 16,339,741,929/58,446
  6. Step 6: Final answer
    x = 279,569.89

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.