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Finding the Third Proportional to 61,553.25 and 100,500.75

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Solution

The third proportional to 61,553.25 and 100,500.75 is: 164,092.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,553.25 : 100,500.75 = 100,500.75 : x
  2. Step 2: Convert to fraction form
    61,553.25/100,500.75 = 100,500.75/x
  3. Step 3: Cross multiply
    61,553.25x = 100,500.75 × 100,500.75
  4. Step 4: Simplify right side
    61,553.25x = 10,100,400,750.56
  5. Step 5: Solve for x
    x = 10,100,400,750.56/61,553.25
  6. Step 6: Final answer
    x = 164,092.08

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.