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Finding the Third Proportional to 74,223 and 119,738.25

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Solution

The third proportional to 74,223 and 119,738.25 is: 193,164.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,223 : 119,738.25 = 119,738.25 : x
  2. Step 2: Convert to fraction form
    74,223/119,738.25 = 119,738.25/x
  3. Step 3: Cross multiply
    74,223x = 119,738.25 × 119,738.25
  4. Step 4: Simplify right side
    74,223x = 14,337,248,513.06
  5. Step 5: Solve for x
    x = 14,337,248,513.06/74,223
  6. Step 6: Final answer
    x = 193,164.50

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.