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Finding the Third Proportional to 53,806 and 125,035

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Solution

The third proportional to 53,806 and 125,035 is: 290,557.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,806 : 125,035 = 125,035 : x
  2. Step 2: Convert to fraction form
    53,806/125,035 = 125,035/x
  3. Step 3: Cross multiply
    53,806x = 125,035 × 125,035
  4. Step 4: Simplify right side
    53,806x = 15,633,751,225
  5. Step 5: Solve for x
    x = 15,633,751,225/53,806
  6. Step 6: Final answer
    x = 290,557.77

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.