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Finding the Third Proportional to 99,096 and 148,676

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Solution

The third proportional to 99,096 and 148,676 is: 223,062.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,096 : 148,676 = 148,676 : x
  2. Step 2: Convert to fraction form
    99,096/148,676 = 148,676/x
  3. Step 3: Cross multiply
    99,096x = 148,676 × 148,676
  4. Step 4: Simplify right side
    99,096x = 22,104,552,976
  5. Step 5: Solve for x
    x = 22,104,552,976/99,096
  6. Step 6: Final answer
    x = 223,062.01

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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.