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Finding the Third Proportional to 60,480 and 88,608

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Solution

The third proportional to 60,480 and 88,608 is: 129,817.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,480 : 88,608 = 88,608 : x
  2. Step 2: Convert to fraction form
    60,480/88,608 = 88,608/x
  3. Step 3: Cross multiply
    60,480x = 88,608 × 88,608
  4. Step 4: Simplify right side
    60,480x = 7,851,377,664
  5. Step 5: Solve for x
    x = 7,851,377,664/60,480
  6. Step 6: Final answer
    x = 129,817.75

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.