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Finding the Third Proportional to 66,601.75 and 142,703.50

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Solution

The third proportional to 66,601.75 and 142,703.50 is: 305,762.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,601.75 : 142,703.50 = 142,703.50 : x
  2. Step 2: Convert to fraction form
    66,601.75/142,703.50 = 142,703.50/x
  3. Step 3: Cross multiply
    66,601.75x = 142,703.50 × 142,703.50
  4. Step 4: Simplify right side
    66,601.75x = 20,364,288,912.25
  5. Step 5: Solve for x
    x = 20,364,288,912.25/66,601.75
  6. Step 6: Final answer
    x = 305,762.07

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.