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Finding the Third Proportional to 116,220 and 174,174

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Solution

The third proportional to 116,220 and 174,174 is: 261,027.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,220 : 174,174 = 174,174 : x
  2. Step 2: Convert to fraction form
    116,220/174,174 = 174,174/x
  3. Step 3: Cross multiply
    116,220x = 174,174 × 174,174
  4. Step 4: Simplify right side
    116,220x = 30,336,582,276
  5. Step 5: Solve for x
    x = 30,336,582,276/116,220
  6. Step 6: Final answer
    x = 261,027.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.