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Finding the Third Proportional to 99,757 and 149,732

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Solution

The third proportional to 99,757 and 149,732 is: 224,742.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,757 : 149,732 = 149,732 : x
  2. Step 2: Convert to fraction form
    99,757/149,732 = 149,732/x
  3. Step 3: Cross multiply
    99,757x = 149,732 × 149,732
  4. Step 4: Simplify right side
    99,757x = 22,419,671,824
  5. Step 5: Solve for x
    x = 22,419,671,824/99,757
  6. Step 6: Final answer
    x = 224,742.84

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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.