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Finding the Third Proportional to 42,554 and 88,608

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Solution

The third proportional to 42,554 and 88,608 is: 184,503.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,554 : 88,608 = 88,608 : x
  2. Step 2: Convert to fraction form
    42,554/88,608 = 88,608/x
  3. Step 3: Cross multiply
    42,554x = 88,608 × 88,608
  4. Step 4: Simplify right side
    42,554x = 7,851,377,664
  5. Step 5: Solve for x
    x = 7,851,377,664/42,554
  6. Step 6: Final answer
    x = 184,503.87

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.