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Finding the Third Proportional to 51,918 and 109,020

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Solution

The third proportional to 51,918 and 109,020 is: 228,925.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,918 : 109,020 = 109,020 : x
  2. Step 2: Convert to fraction form
    51,918/109,020 = 109,020/x
  3. Step 3: Cross multiply
    51,918x = 109,020 × 109,020
  4. Step 4: Simplify right side
    51,918x = 11,885,360,400
  5. Step 5: Solve for x
    x = 11,885,360,400/51,918
  6. Step 6: Final answer
    x = 228,925.62

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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.