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Finding the Third Proportional to 43,214.50 and 92,423

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Solution

The third proportional to 43,214.50 and 92,423 is: 197,665.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,214.50 : 92,423 = 92,423 : x
  2. Step 2: Convert to fraction form
    43,214.50/92,423 = 92,423/x
  3. Step 3: Cross multiply
    43,214.50x = 92,423 × 92,423
  4. Step 4: Simplify right side
    43,214.50x = 8,542,010,929
  5. Step 5: Solve for x
    x = 8,542,010,929/43,214.50
  6. Step 6: Final answer
    x = 197,665.39

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.