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Finding the Third Proportional to 63,974.25 and 100,356.75

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Solution

The third proportional to 63,974.25 and 100,356.75 is: 157,430.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,974.25 : 100,356.75 = 100,356.75 : x
  2. Step 2: Convert to fraction form
    63,974.25/100,356.75 = 100,356.75/x
  3. Step 3: Cross multiply
    63,974.25x = 100,356.75 × 100,356.75
  4. Step 4: Simplify right side
    63,974.25x = 10,071,477,270.56
  5. Step 5: Solve for x
    x = 10,071,477,270.56/63,974.25
  6. Step 6: Final answer
    x = 157,430.17

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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.