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Finding the Third Proportional to 62,255 and 136,606

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Solution

The third proportional to 62,255 and 136,606 is: 299,754.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,255 : 136,606 = 136,606 : x
  2. Step 2: Convert to fraction form
    62,255/136,606 = 136,606/x
  3. Step 3: Cross multiply
    62,255x = 136,606 × 136,606
  4. Step 4: Simplify right side
    62,255x = 18,661,199,236
  5. Step 5: Solve for x
    x = 18,661,199,236/62,255
  6. Step 6: Final answer
    x = 299,754.22

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.