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Finding the Third Proportional to 59,277 and 105,396.38

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Solution

The third proportional to 59,277 and 105,396.38 is: 187,398.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,277 : 105,396.38 = 105,396.38 : x
  2. Step 2: Convert to fraction form
    59,277/105,396.38 = 105,396.38/x
  3. Step 3: Cross multiply
    59,277x = 105,396.38 × 105,396.38
  4. Step 4: Simplify right side
    59,277x = 11,108,395,863.14
  5. Step 5: Solve for x
    x = 11,108,395,863.14/59,277
  6. Step 6: Final answer
    x = 187,398.08

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.