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Finding the Third Proportional to 76,084 and 114,356

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Solution

The third proportional to 76,084 and 114,356 is: 171,879.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,084 : 114,356 = 114,356 : x
  2. Step 2: Convert to fraction form
    76,084/114,356 = 114,356/x
  3. Step 3: Cross multiply
    76,084x = 114,356 × 114,356
  4. Step 4: Simplify right side
    76,084x = 13,077,294,736
  5. Step 5: Solve for x
    x = 13,077,294,736/76,084
  6. Step 6: Final answer
    x = 171,879.70

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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.