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Finding the Third Proportional to 52,798 and 109,951

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Solution

The third proportional to 52,798 and 109,951 is: 228,971.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,798 : 109,951 = 109,951 : x
  2. Step 2: Convert to fraction form
    52,798/109,951 = 109,951/x
  3. Step 3: Cross multiply
    52,798x = 109,951 × 109,951
  4. Step 4: Simplify right side
    52,798x = 12,089,222,401
  5. Step 5: Solve for x
    x = 12,089,222,401/52,798
  6. Step 6: Final answer
    x = 228,971.22

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Why These Related Problems?

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