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Finding the Third Proportional to 40,504 and 88,277

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Solution

The third proportional to 40,504 and 88,277 is: 192,396.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,504 : 88,277 = 88,277 : x
  2. Step 2: Convert to fraction form
    40,504/88,277 = 88,277/x
  3. Step 3: Cross multiply
    40,504x = 88,277 × 88,277
  4. Step 4: Simplify right side
    40,504x = 7,792,828,729
  5. Step 5: Solve for x
    x = 7,792,828,729/40,504
  6. Step 6: Final answer
    x = 192,396.52

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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.