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Finding the Third Proportional to 74,724 and 111,027.75

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Solution

The third proportional to 74,724 and 111,027.75 is: 164,969.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,724 : 111,027.75 = 111,027.75 : x
  2. Step 2: Convert to fraction form
    74,724/111,027.75 = 111,027.75/x
  3. Step 3: Cross multiply
    74,724x = 111,027.75 × 111,027.75
  4. Step 4: Simplify right side
    74,724x = 12,327,161,270.06
  5. Step 5: Solve for x
    x = 12,327,161,270.06/74,724
  6. Step 6: Final answer
    x = 164,969.24

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.