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Finding the Third Proportional to 62,600 and 134,104

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Solution

The third proportional to 62,600 and 134,104 is: 287,282.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,600 : 134,104 = 134,104 : x
  2. Step 2: Convert to fraction form
    62,600/134,104 = 134,104/x
  3. Step 3: Cross multiply
    62,600x = 134,104 × 134,104
  4. Step 4: Simplify right side
    62,600x = 17,983,882,816
  5. Step 5: Solve for x
    x = 17,983,882,816/62,600
  6. Step 6: Final answer
    x = 287,282.47

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.