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Finding the Third Proportional to 68,110 and 158,276

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Solution

The third proportional to 68,110 and 158,276 is: 367,806.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,110 : 158,276 = 158,276 : x
  2. Step 2: Convert to fraction form
    68,110/158,276 = 158,276/x
  3. Step 3: Cross multiply
    68,110x = 158,276 × 158,276
  4. Step 4: Simplify right side
    68,110x = 25,051,292,176
  5. Step 5: Solve for x
    x = 25,051,292,176/68,110
  6. Step 6: Final answer
    x = 367,806.37

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These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.