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Finding the Third Proportional to 59,601 and 135,882

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Solution

The third proportional to 59,601 and 135,882 is: 309,792.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,601 : 135,882 = 135,882 : x
  2. Step 2: Convert to fraction form
    59,601/135,882 = 135,882/x
  3. Step 3: Cross multiply
    59,601x = 135,882 × 135,882
  4. Step 4: Simplify right side
    59,601x = 18,463,917,924
  5. Step 5: Solve for x
    x = 18,463,917,924/59,601
  6. Step 6: Final answer
    x = 309,792.08

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Why These Related Problems?

These problems maintain the same ratio (2.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.