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Finding the Third Proportional to 104,206.50 and 161,458

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Solution

The third proportional to 104,206.50 and 161,458 is: 250,163.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,206.50 : 161,458 = 161,458 : x
  2. Step 2: Convert to fraction form
    104,206.50/161,458 = 161,458/x
  3. Step 3: Cross multiply
    104,206.50x = 161,458 × 161,458
  4. Step 4: Simplify right side
    104,206.50x = 26,068,685,764
  5. Step 5: Solve for x
    x = 26,068,685,764/104,206.50
  6. Step 6: Final answer
    x = 250,163.72

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.