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Finding the Third Proportional to 51,213 and 110,328

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Solution

The third proportional to 51,213 and 110,328 is: 237,679.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,213 : 110,328 = 110,328 : x
  2. Step 2: Convert to fraction form
    51,213/110,328 = 110,328/x
  3. Step 3: Cross multiply
    51,213x = 110,328 × 110,328
  4. Step 4: Simplify right side
    51,213x = 12,172,267,584
  5. Step 5: Solve for x
    x = 12,172,267,584/51,213
  6. Step 6: Final answer
    x = 237,679.25

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.