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Finding the Third Proportional to 43,404 and 89,724

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Solution

The third proportional to 43,404 and 89,724 is: 185,475.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,404 : 89,724 = 89,724 : x
  2. Step 2: Convert to fraction form
    43,404/89,724 = 89,724/x
  3. Step 3: Cross multiply
    43,404x = 89,724 × 89,724
  4. Step 4: Simplify right side
    43,404x = 8,050,396,176
  5. Step 5: Solve for x
    x = 8,050,396,176/43,404
  6. Step 6: Final answer
    x = 185,475.90

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.