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Finding the Third Proportional to 99,652.50 and 149,073.75

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Solution

The third proportional to 99,652.50 and 149,073.75 is: 223,004.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,652.50 : 149,073.75 = 149,073.75 : x
  2. Step 2: Convert to fraction form
    99,652.50/149,073.75 = 149,073.75/x
  3. Step 3: Cross multiply
    99,652.50x = 149,073.75 × 149,073.75
  4. Step 4: Simplify right side
    99,652.50x = 22,222,982,939.06
  5. Step 5: Solve for x
    x = 22,222,982,939.06/99,652.50
  6. Step 6: Final answer
    x = 223,004.77

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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.