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Finding the Third Proportional to 74,027.25 and 105,504.19

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Solution

The third proportional to 74,027.25 and 105,504.19 is: 150,365.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,027.25 : 105,504.19 = 105,504.19 : x
  2. Step 2: Convert to fraction form
    74,027.25/105,504.19 = 105,504.19/x
  3. Step 3: Cross multiply
    74,027.25x = 105,504.19 × 105,504.19
  4. Step 4: Simplify right side
    74,027.25x = 11,131,133,580.04
  5. Step 5: Solve for x
    x = 11,131,133,580.04/74,027.25
  6. Step 6: Final answer
    x = 150,365.35

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.