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Finding the Third Proportional to 74,162.25 and 157,164.75

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Solution

The third proportional to 74,162.25 and 157,164.75 is: 333,063.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,162.25 : 157,164.75 = 157,164.75 : x
  2. Step 2: Convert to fraction form
    74,162.25/157,164.75 = 157,164.75/x
  3. Step 3: Cross multiply
    74,162.25x = 157,164.75 × 157,164.75
  4. Step 4: Simplify right side
    74,162.25x = 24,700,758,642.56
  5. Step 5: Solve for x
    x = 24,700,758,642.56/74,162.25
  6. Step 6: Final answer
    x = 333,063.77

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.