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Finding the Third Proportional to 76,264 and 116,663

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Solution

The third proportional to 76,264 and 116,663 is: 178,462.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,264 : 116,663 = 116,663 : x
  2. Step 2: Convert to fraction form
    76,264/116,663 = 116,663/x
  3. Step 3: Cross multiply
    76,264x = 116,663 × 116,663
  4. Step 4: Simplify right side
    76,264x = 13,610,255,569
  5. Step 5: Solve for x
    x = 13,610,255,569/76,264
  6. Step 6: Final answer
    x = 178,462.39

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.