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Finding the Third Proportional to 43,542 and 69,201

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Solution

The third proportional to 43,542 and 69,201 is: 109,980.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,542 : 69,201 = 69,201 : x
  2. Step 2: Convert to fraction form
    43,542/69,201 = 69,201/x
  3. Step 3: Cross multiply
    43,542x = 69,201 × 69,201
  4. Step 4: Simplify right side
    43,542x = 4,788,778,401
  5. Step 5: Solve for x
    x = 4,788,778,401/43,542
  6. Step 6: Final answer
    x = 109,980.67

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.