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Finding the Third Proportional to 60,498 and 96,096

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Solution

The third proportional to 60,498 and 96,096 is: 152,640.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,498 : 96,096 = 96,096 : x
  2. Step 2: Convert to fraction form
    60,498/96,096 = 96,096/x
  3. Step 3: Cross multiply
    60,498x = 96,096 × 96,096
  4. Step 4: Simplify right side
    60,498x = 9,234,441,216
  5. Step 5: Solve for x
    x = 9,234,441,216/60,498
  6. Step 6: Final answer
    x = 152,640.44

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.