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Finding the Third Proportional to 96,511.50 and 144,747

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Solution

The third proportional to 96,511.50 and 144,747 is: 217,090.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,511.50 : 144,747 = 144,747 : x
  2. Step 2: Convert to fraction form
    96,511.50/144,747 = 144,747/x
  3. Step 3: Cross multiply
    96,511.50x = 144,747 × 144,747
  4. Step 4: Simplify right side
    96,511.50x = 20,951,694,009
  5. Step 5: Solve for x
    x = 20,951,694,009/96,511.50
  6. Step 6: Final answer
    x = 217,090.13

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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.