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Finding the Third Proportional to 76,208 and 115,831.75

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Solution

The third proportional to 76,208 and 115,831.75 is: 176,057.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,208 : 115,831.75 = 115,831.75 : x
  2. Step 2: Convert to fraction form
    76,208/115,831.75 = 115,831.75/x
  3. Step 3: Cross multiply
    76,208x = 115,831.75 × 115,831.75
  4. Step 4: Simplify right side
    76,208x = 13,416,994,308.06
  5. Step 5: Solve for x
    x = 13,416,994,308.06/76,208
  6. Step 6: Final answer
    x = 176,057.56

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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.