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Finding the Third Proportional to 74,634.75 and 157,693.50

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Solution

The third proportional to 74,634.75 and 157,693.50 is: 333,185.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,634.75 : 157,693.50 = 157,693.50 : x
  2. Step 2: Convert to fraction form
    74,634.75/157,693.50 = 157,693.50/x
  3. Step 3: Cross multiply
    74,634.75x = 157,693.50 × 157,693.50
  4. Step 4: Simplify right side
    74,634.75x = 24,867,239,942.25
  5. Step 5: Solve for x
    x = 24,867,239,942.25/74,634.75
  6. Step 6: Final answer
    x = 333,185.81

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.