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Finding the Third Proportional to 114,538.50 and 189,801.56

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Solution

The third proportional to 114,538.50 and 189,801.56 is: 314,519.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,538.50 : 189,801.56 = 189,801.56 : x
  2. Step 2: Convert to fraction form
    114,538.50/189,801.56 = 189,801.56/x
  3. Step 3: Cross multiply
    114,538.50x = 189,801.56 × 189,801.56
  4. Step 4: Simplify right side
    114,538.50x = 36,024,633,127.44
  5. Step 5: Solve for x
    x = 36,024,633,127.44/114,538.50
  6. Step 6: Final answer
    x = 314,519.86

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.