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Finding the Third Proportional to 52,788 and 109,945

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Solution

The third proportional to 52,788 and 109,945 is: 228,989.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,788 : 109,945 = 109,945 : x
  2. Step 2: Convert to fraction form
    52,788/109,945 = 109,945/x
  3. Step 3: Cross multiply
    52,788x = 109,945 × 109,945
  4. Step 4: Simplify right side
    52,788x = 12,087,903,025
  5. Step 5: Solve for x
    x = 12,087,903,025/52,788
  6. Step 6: Final answer
    x = 228,989.60

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.