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Finding the Third Proportional to 27,122 and 58,336

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Solution

The third proportional to 27,122 and 58,336 is: 125,473.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,122 : 58,336 = 58,336 : x
  2. Step 2: Convert to fraction form
    27,122/58,336 = 58,336/x
  3. Step 3: Cross multiply
    27,122x = 58,336 × 58,336
  4. Step 4: Simplify right side
    27,122x = 3,403,088,896
  5. Step 5: Solve for x
    x = 3,403,088,896/27,122
  6. Step 6: Final answer
    x = 125,473.38

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.