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Finding the Third Proportional to 99,726 and 149,659.50

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Solution

The third proportional to 99,726 and 149,659.50 is: 224,595.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,726 : 149,659.50 = 149,659.50 : x
  2. Step 2: Convert to fraction form
    99,726/149,659.50 = 149,659.50/x
  3. Step 3: Cross multiply
    99,726x = 149,659.50 × 149,659.50
  4. Step 4: Simplify right side
    99,726x = 22,397,965,940.25
  5. Step 5: Solve for x
    x = 22,397,965,940.25/99,726
  6. Step 6: Final answer
    x = 224,595.05

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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.