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Finding the Third Proportional to 55,314 and 82,611

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Solution

The third proportional to 55,314 and 82,611 is: 123,378.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,314 : 82,611 = 82,611 : x
  2. Step 2: Convert to fraction form
    55,314/82,611 = 82,611/x
  3. Step 3: Cross multiply
    55,314x = 82,611 × 82,611
  4. Step 4: Simplify right side
    55,314x = 6,824,577,321
  5. Step 5: Solve for x
    x = 6,824,577,321/55,314
  6. Step 6: Final answer
    x = 123,378.84

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.