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Finding the Third Proportional to 102,736 and 151,333

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Solution

The third proportional to 102,736 and 151,333 is: 222,917.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,736 : 151,333 = 151,333 : x
  2. Step 2: Convert to fraction form
    102,736/151,333 = 151,333/x
  3. Step 3: Cross multiply
    102,736x = 151,333 × 151,333
  4. Step 4: Simplify right side
    102,736x = 22,901,676,889
  5. Step 5: Solve for x
    x = 22,901,676,889/102,736
  6. Step 6: Final answer
    x = 222,917.74

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.