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Finding the Third Proportional to 111,746 and 243,172

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Solution

The third proportional to 111,746 and 243,172 is: 529,169.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,746 : 243,172 = 243,172 : x
  2. Step 2: Convert to fraction form
    111,746/243,172 = 243,172/x
  3. Step 3: Cross multiply
    111,746x = 243,172 × 243,172
  4. Step 4: Simplify right side
    111,746x = 59,132,621,584
  5. Step 5: Solve for x
    x = 59,132,621,584/111,746
  6. Step 6: Final answer
    x = 529,169.92

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.