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Finding the Third Proportional to 40,322 and 92,549

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Solution

The third proportional to 40,322 and 92,549 is: 212,422.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,322 : 92,549 = 92,549 : x
  2. Step 2: Convert to fraction form
    40,322/92,549 = 92,549/x
  3. Step 3: Cross multiply
    40,322x = 92,549 × 92,549
  4. Step 4: Simplify right side
    40,322x = 8,565,317,401
  5. Step 5: Solve for x
    x = 8,565,317,401/40,322
  6. Step 6: Final answer
    x = 212,422.93

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.