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Finding the Third Proportional to 99,190 and 148,787

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Solution

The third proportional to 99,190 and 148,787 is: 223,183.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,190 : 148,787 = 148,787 : x
  2. Step 2: Convert to fraction form
    99,190/148,787 = 148,787/x
  3. Step 3: Cross multiply
    99,190x = 148,787 × 148,787
  4. Step 4: Simplify right side
    99,190x = 22,137,571,369
  5. Step 5: Solve for x
    x = 22,137,571,369/99,190
  6. Step 6: Final answer
    x = 223,183.50

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Why These Related Problems?

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