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Finding the Third Proportional to 43,269.19 and 71,840.67

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Solution

The third proportional to 43,269.19 and 71,840.67 is: 119,278.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,269.19 : 71,840.67 = 71,840.67 : x
  2. Step 2: Convert to fraction form
    43,269.19/71,840.67 = 71,840.67/x
  3. Step 3: Cross multiply
    43,269.19x = 71,840.67 × 71,840.67
  4. Step 4: Simplify right side
    43,269.19x = 5,161,082,135.45
  5. Step 5: Solve for x
    x = 5,161,082,135.45/43,269.19
  6. Step 6: Final answer
    x = 119,278.46

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.