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Finding the Third Proportional to 62,500 and 134,824

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Solution

The third proportional to 62,500 and 134,824 is: 290,840.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,500 : 134,824 = 134,824 : x
  2. Step 2: Convert to fraction form
    62,500/134,824 = 134,824/x
  3. Step 3: Cross multiply
    62,500x = 134,824 × 134,824
  4. Step 4: Simplify right side
    62,500x = 18,177,510,976
  5. Step 5: Solve for x
    x = 18,177,510,976/62,500
  6. Step 6: Final answer
    x = 290,840.18

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.