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Finding the Third Proportional to 99,467 and 149,277

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Solution

The third proportional to 99,467 and 149,277 is: 224,030.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,467 : 149,277 = 149,277 : x
  2. Step 2: Convert to fraction form
    99,467/149,277 = 149,277/x
  3. Step 3: Cross multiply
    99,467x = 149,277 × 149,277
  4. Step 4: Simplify right side
    99,467x = 22,283,622,729
  5. Step 5: Solve for x
    x = 22,283,622,729/99,467
  6. Step 6: Final answer
    x = 224,030.31

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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.