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Finding the Third Proportional to 66,784.50 and 106,494.75

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Solution

The third proportional to 66,784.50 and 106,494.75 is: 169,816.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,784.50 : 106,494.75 = 106,494.75 : x
  2. Step 2: Convert to fraction form
    66,784.50/106,494.75 = 106,494.75/x
  3. Step 3: Cross multiply
    66,784.50x = 106,494.75 × 106,494.75
  4. Step 4: Simplify right side
    66,784.50x = 11,341,131,777.56
  5. Step 5: Solve for x
    x = 11,341,131,777.56/66,784.50
  6. Step 6: Final answer
    x = 169,816.83

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.