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Finding the Third Proportional to 64,597.50 and 134,736.75

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Solution

The third proportional to 64,597.50 and 134,736.75 is: 281,032.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,597.50 : 134,736.75 = 134,736.75 : x
  2. Step 2: Convert to fraction form
    64,597.50/134,736.75 = 134,736.75/x
  3. Step 3: Cross multiply
    64,597.50x = 134,736.75 × 134,736.75
  4. Step 4: Simplify right side
    64,597.50x = 18,153,991,800.56
  5. Step 5: Solve for x
    x = 18,153,991,800.56/64,597.50
  6. Step 6: Final answer
    x = 281,032.42

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.