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Finding the Third Proportional to 52,389 and 109,910

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Solution

The third proportional to 52,389 and 109,910 is: 230,586.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,389 : 109,910 = 109,910 : x
  2. Step 2: Convert to fraction form
    52,389/109,910 = 109,910/x
  3. Step 3: Cross multiply
    52,389x = 109,910 × 109,910
  4. Step 4: Simplify right side
    52,389x = 12,080,208,100
  5. Step 5: Solve for x
    x = 12,080,208,100/52,389
  6. Step 6: Final answer
    x = 230,586.73

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.