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Finding the Third Proportional to 43,542 and 94,220

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Solution

The third proportional to 43,542 and 94,220 is: 203,881.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,542 : 94,220 = 94,220 : x
  2. Step 2: Convert to fraction form
    43,542/94,220 = 94,220/x
  3. Step 3: Cross multiply
    43,542x = 94,220 × 94,220
  4. Step 4: Simplify right side
    43,542x = 8,877,408,400
  5. Step 5: Solve for x
    x = 8,877,408,400/43,542
  6. Step 6: Final answer
    x = 203,881.50

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.