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Finding the Third Proportional to 99,369 and 148,675

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Solution

The third proportional to 99,369 and 148,675 is: 222,446.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,369 : 148,675 = 148,675 : x
  2. Step 2: Convert to fraction form
    99,369/148,675 = 148,675/x
  3. Step 3: Cross multiply
    99,369x = 148,675 × 148,675
  4. Step 4: Simplify right side
    99,369x = 22,104,255,625
  5. Step 5: Solve for x
    x = 22,104,255,625/99,369
  6. Step 6: Final answer
    x = 222,446.19

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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.