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Finding the Third Proportional to 76,469 and 116,324

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Solution

The third proportional to 76,469 and 116,324 is: 176,951.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,469 : 116,324 = 116,324 : x
  2. Step 2: Convert to fraction form
    76,469/116,324 = 116,324/x
  3. Step 3: Cross multiply
    76,469x = 116,324 × 116,324
  4. Step 4: Simplify right side
    76,469x = 13,531,272,976
  5. Step 5: Solve for x
    x = 13,531,272,976/76,469
  6. Step 6: Final answer
    x = 176,951.09

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.