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Finding the Third Proportional to 111,747 and 243,174

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Solution

The third proportional to 111,747 and 243,174 is: 529,173.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,747 : 243,174 = 243,174 : x
  2. Step 2: Convert to fraction form
    111,747/243,174 = 243,174/x
  3. Step 3: Cross multiply
    111,747x = 243,174 × 243,174
  4. Step 4: Simplify right side
    111,747x = 59,133,594,276
  5. Step 5: Solve for x
    x = 59,133,594,276/111,747
  6. Step 6: Final answer
    x = 529,173.89

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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.