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Finding the Third Proportional to 64,200 and 96,124

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Solution

The third proportional to 64,200 and 96,124 is: 143,922.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,200 : 96,124 = 96,124 : x
  2. Step 2: Convert to fraction form
    64,200/96,124 = 96,124/x
  3. Step 3: Cross multiply
    64,200x = 96,124 × 96,124
  4. Step 4: Simplify right side
    64,200x = 9,239,823,376
  5. Step 5: Solve for x
    x = 9,239,823,376/64,200
  6. Step 6: Final answer
    x = 143,922.48

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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.