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Finding the Third Proportional to 64,149 and 96,257

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Solution

The third proportional to 64,149 and 96,257 is: 144,435.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,149 : 96,257 = 96,257 : x
  2. Step 2: Convert to fraction form
    64,149/96,257 = 96,257/x
  3. Step 3: Cross multiply
    64,149x = 96,257 × 96,257
  4. Step 4: Simplify right side
    64,149x = 9,265,410,049
  5. Step 5: Solve for x
    x = 9,265,410,049/64,149
  6. Step 6: Final answer
    x = 144,435.77

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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.