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Finding the Third Proportional to 27,336 and 59,206

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Solution

The third proportional to 27,336 and 59,206 is: 128,232.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,336 : 59,206 = 59,206 : x
  2. Step 2: Convert to fraction form
    27,336/59,206 = 59,206/x
  3. Step 3: Cross multiply
    27,336x = 59,206 × 59,206
  4. Step 4: Simplify right side
    27,336x = 3,505,350,436
  5. Step 5: Solve for x
    x = 3,505,350,436/27,336
  6. Step 6: Final answer
    x = 128,232.02

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.