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Finding the Third Proportional to 74,054.25 and 157,950

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Solution

The third proportional to 74,054.25 and 157,950 is: 336,890.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,054.25 : 157,950 = 157,950 : x
  2. Step 2: Convert to fraction form
    74,054.25/157,950 = 157,950/x
  3. Step 3: Cross multiply
    74,054.25x = 157,950 × 157,950
  4. Step 4: Simplify right side
    74,054.25x = 24,948,202,500
  5. Step 5: Solve for x
    x = 24,948,202,500/74,054.25
  6. Step 6: Final answer
    x = 336,890.89

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.