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Finding the Third Proportional to 99,725 and 149,250

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Solution

The third proportional to 99,725 and 149,250 is: 223,369.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,725 : 149,250 = 149,250 : x
  2. Step 2: Convert to fraction form
    99,725/149,250 = 149,250/x
  3. Step 3: Cross multiply
    99,725x = 149,250 × 149,250
  4. Step 4: Simplify right side
    99,725x = 22,275,562,500
  5. Step 5: Solve for x
    x = 22,275,562,500/99,725
  6. Step 6: Final answer
    x = 223,369.89

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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.