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Finding the Third Proportional to 40,786 and 92,213

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Solution

The third proportional to 40,786 and 92,213 is: 208,484.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,786 : 92,213 = 92,213 : x
  2. Step 2: Convert to fraction form
    40,786/92,213 = 92,213/x
  3. Step 3: Cross multiply
    40,786x = 92,213 × 92,213
  4. Step 4: Simplify right side
    40,786x = 8,503,237,369
  5. Step 5: Solve for x
    x = 8,503,237,369/40,786
  6. Step 6: Final answer
    x = 208,484.22

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.