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Finding the Third Proportional to 40,569 and 88,611

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Solution

The third proportional to 40,569 and 88,611 is: 193,544.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,569 : 88,611 = 88,611 : x
  2. Step 2: Convert to fraction form
    40,569/88,611 = 88,611/x
  3. Step 3: Cross multiply
    40,569x = 88,611 × 88,611
  4. Step 4: Simplify right side
    40,569x = 7,851,909,321
  5. Step 5: Solve for x
    x = 7,851,909,321/40,569
  6. Step 6: Final answer
    x = 193,544.56

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.