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Finding the Third Proportional to 43,742 and 93,702

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Solution

The third proportional to 43,742 and 93,702 is: 200,723.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,742 : 93,702 = 93,702 : x
  2. Step 2: Convert to fraction form
    43,742/93,702 = 93,702/x
  3. Step 3: Cross multiply
    43,742x = 93,702 × 93,702
  4. Step 4: Simplify right side
    43,742x = 8,780,064,804
  5. Step 5: Solve for x
    x = 8,780,064,804/43,742
  6. Step 6: Final answer
    x = 200,723.90

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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.