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Finding the Third Proportional to 99,747 and 149,283

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Solution

The third proportional to 99,747 and 149,283 is: 223,419.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,747 : 149,283 = 149,283 : x
  2. Step 2: Convert to fraction form
    99,747/149,283 = 149,283/x
  3. Step 3: Cross multiply
    99,747x = 149,283 × 149,283
  4. Step 4: Simplify right side
    99,747x = 22,285,414,089
  5. Step 5: Solve for x
    x = 22,285,414,089/99,747
  6. Step 6: Final answer
    x = 223,419.39

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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.