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Finding the Third Proportional to 74,353.50 and 119,693.25

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Solution

The third proportional to 74,353.50 and 119,693.25 is: 192,680.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,353.50 : 119,693.25 = 119,693.25 : x
  2. Step 2: Convert to fraction form
    74,353.50/119,693.25 = 119,693.25/x
  3. Step 3: Cross multiply
    74,353.50x = 119,693.25 × 119,693.25
  4. Step 4: Simplify right side
    74,353.50x = 14,326,474,095.56
  5. Step 5: Solve for x
    x = 14,326,474,095.56/74,353.50
  6. Step 6: Final answer
    x = 192,680.56

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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.