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Finding the Third Proportional to 64,287 and 93,917.25

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Solution

The third proportional to 64,287 and 93,917.25 is: 137,204.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,287 : 93,917.25 = 93,917.25 : x
  2. Step 2: Convert to fraction form
    64,287/93,917.25 = 93,917.25/x
  3. Step 3: Cross multiply
    64,287x = 93,917.25 × 93,917.25
  4. Step 4: Simplify right side
    64,287x = 8,820,449,847.56
  5. Step 5: Solve for x
    x = 8,820,449,847.56/64,287
  6. Step 6: Final answer
    x = 137,204.25

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.