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Finding the Third Proportional to 43,717 and 93,667

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Solution

The third proportional to 43,717 and 93,667 is: 200,688.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,717 : 93,667 = 93,667 : x
  2. Step 2: Convert to fraction form
    43,717/93,667 = 93,667/x
  3. Step 3: Cross multiply
    43,717x = 93,667 × 93,667
  4. Step 4: Simplify right side
    43,717x = 8,773,506,889
  5. Step 5: Solve for x
    x = 8,773,506,889/43,717
  6. Step 6: Final answer
    x = 200,688.68

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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.