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Finding the Third Proportional to 63,914 and 100,267.50

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Solution

The third proportional to 63,914 and 100,267.50 is: 157,298.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,914 : 100,267.50 = 100,267.50 : x
  2. Step 2: Convert to fraction form
    63,914/100,267.50 = 100,267.50/x
  3. Step 3: Cross multiply
    63,914x = 100,267.50 × 100,267.50
  4. Step 4: Simplify right side
    63,914x = 10,053,571,556.25
  5. Step 5: Solve for x
    x = 10,053,571,556.25/63,914
  6. Step 6: Final answer
    x = 157,298.43

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