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Finding the Third Proportional to 66,006 and 94,586.63

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Solution

The third proportional to 66,006 and 94,586.63 is: 135,542.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,006 : 94,586.63 = 94,586.63 : x
  2. Step 2: Convert to fraction form
    66,006/94,586.63 = 94,586.63/x
  3. Step 3: Cross multiply
    66,006x = 94,586.63 × 94,586.63
  4. Step 4: Simplify right side
    66,006x = 8,946,629,628.89
  5. Step 5: Solve for x
    x = 8,946,629,628.89/66,006
  6. Step 6: Final answer
    x = 135,542.67

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.