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Finding the Third Proportional to 63,963 and 100,334.25

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Solution

The third proportional to 63,963 and 100,334.25 is: 157,387.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,963 : 100,334.25 = 100,334.25 : x
  2. Step 2: Convert to fraction form
    63,963/100,334.25 = 100,334.25/x
  3. Step 3: Cross multiply
    63,963x = 100,334.25 × 100,334.25
  4. Step 4: Simplify right side
    63,963x = 10,066,961,723.06
  5. Step 5: Solve for x
    x = 10,066,961,723.06/63,963
  6. Step 6: Final answer
    x = 157,387.27

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.