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Finding the Third Proportional to 109,668 and 235,972

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Solution

The third proportional to 109,668 and 235,972 is: 507,739.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,668 : 235,972 = 235,972 : x
  2. Step 2: Convert to fraction form
    109,668/235,972 = 235,972/x
  3. Step 3: Cross multiply
    109,668x = 235,972 × 235,972
  4. Step 4: Simplify right side
    109,668x = 55,682,784,784
  5. Step 5: Solve for x
    x = 55,682,784,784/109,668
  6. Step 6: Final answer
    x = 507,739.58

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.