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Finding the Third Proportional to 40,210 and 88,687

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Solution

The third proportional to 40,210 and 88,687 is: 195,607.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,210 : 88,687 = 88,687 : x
  2. Step 2: Convert to fraction form
    40,210/88,687 = 88,687/x
  3. Step 3: Cross multiply
    40,210x = 88,687 × 88,687
  4. Step 4: Simplify right side
    40,210x = 7,865,383,969
  5. Step 5: Solve for x
    x = 7,865,383,969/40,210
  6. Step 6: Final answer
    x = 195,607.66

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.