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Finding the Third Proportional to 98,928 and 148,734

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Solution

The third proportional to 98,928 and 148,734 is: 223,615.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,928 : 148,734 = 148,734 : x
  2. Step 2: Convert to fraction form
    98,928/148,734 = 148,734/x
  3. Step 3: Cross multiply
    98,928x = 148,734 × 148,734
  4. Step 4: Simplify right side
    98,928x = 22,121,802,756
  5. Step 5: Solve for x
    x = 22,121,802,756/98,928
  6. Step 6: Final answer
    x = 223,615.18

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.