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Finding the Third Proportional to 57,360 and 88,608

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Solution

The third proportional to 57,360 and 88,608 is: 136,878.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,360 : 88,608 = 88,608 : x
  2. Step 2: Convert to fraction form
    57,360/88,608 = 88,608/x
  3. Step 3: Cross multiply
    57,360x = 88,608 × 88,608
  4. Step 4: Simplify right side
    57,360x = 7,851,377,664
  5. Step 5: Solve for x
    x = 7,851,377,664/57,360
  6. Step 6: Final answer
    x = 136,878.97

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.