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Finding the Third Proportional to 66,084 and 94,704

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Solution

The third proportional to 66,084 and 94,704 is: 135,718.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,084 : 94,704 = 94,704 : x
  2. Step 2: Convert to fraction form
    66,084/94,704 = 94,704/x
  3. Step 3: Cross multiply
    66,084x = 94,704 × 94,704
  4. Step 4: Simplify right side
    66,084x = 8,968,847,616
  5. Step 5: Solve for x
    x = 8,968,847,616/66,084
  6. Step 6: Final answer
    x = 135,718.90

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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.