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Finding the Third Proportional to 43,201 and 89,850

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Solution

The third proportional to 43,201 and 89,850 is: 186,871.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,201 : 89,850 = 89,850 : x
  2. Step 2: Convert to fraction form
    43,201/89,850 = 89,850/x
  3. Step 3: Cross multiply
    43,201x = 89,850 × 89,850
  4. Step 4: Simplify right side
    43,201x = 8,073,022,500
  5. Step 5: Solve for x
    x = 8,073,022,500/43,201
  6. Step 6: Final answer
    x = 186,871.20

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.