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Finding the Third Proportional to 63,930 and 100,288.50

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Solution

The third proportional to 63,930 and 100,288.50 is: 157,324.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,930 : 100,288.50 = 100,288.50 : x
  2. Step 2: Convert to fraction form
    63,930/100,288.50 = 100,288.50/x
  3. Step 3: Cross multiply
    63,930x = 100,288.50 × 100,288.50
  4. Step 4: Simplify right side
    63,930x = 10,057,783,232.25
  5. Step 5: Solve for x
    x = 10,057,783,232.25/63,930
  6. Step 6: Final answer
    x = 157,324.94

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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.