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Finding the Third Proportional to 53,783 and 75,225

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Solution

The third proportional to 53,783 and 75,225 is: 105,215.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,783 : 75,225 = 75,225 : x
  2. Step 2: Convert to fraction form
    53,783/75,225 = 75,225/x
  3. Step 3: Cross multiply
    53,783x = 75,225 × 75,225
  4. Step 4: Simplify right side
    53,783x = 5,658,800,625
  5. Step 5: Solve for x
    x = 5,658,800,625/53,783
  6. Step 6: Final answer
    x = 105,215.41

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.