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Finding the Third Proportional to 99,395 and 150,672

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Solution

The third proportional to 99,395 and 150,672 is: 228,402.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,395 : 150,672 = 150,672 : x
  2. Step 2: Convert to fraction form
    99,395/150,672 = 150,672/x
  3. Step 3: Cross multiply
    99,395x = 150,672 × 150,672
  4. Step 4: Simplify right side
    99,395x = 22,702,051,584
  5. Step 5: Solve for x
    x = 22,702,051,584/99,395
  6. Step 6: Final answer
    x = 228,402.35

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.