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Finding the Third Proportional to 63,380 and 88,608

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Solution

The third proportional to 63,380 and 88,608 is: 123,877.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,380 : 88,608 = 88,608 : x
  2. Step 2: Convert to fraction form
    63,380/88,608 = 88,608/x
  3. Step 3: Cross multiply
    63,380x = 88,608 × 88,608
  4. Step 4: Simplify right side
    63,380x = 7,851,377,664
  5. Step 5: Solve for x
    x = 7,851,377,664/63,380
  6. Step 6: Final answer
    x = 123,877.84

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