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Finding the Third Proportional to 51,503 and 110,710

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Solution

The third proportional to 51,503 and 110,710 is: 237,980.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,503 : 110,710 = 110,710 : x
  2. Step 2: Convert to fraction form
    51,503/110,710 = 110,710/x
  3. Step 3: Cross multiply
    51,503x = 110,710 × 110,710
  4. Step 4: Simplify right side
    51,503x = 12,256,704,100
  5. Step 5: Solve for x
    x = 12,256,704,100/51,503
  6. Step 6: Final answer
    x = 237,980.39

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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.