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Finding the Third Proportional to 51,064 and 112,207

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Solution

The third proportional to 51,064 and 112,207 is: 246,561.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,064 : 112,207 = 112,207 : x
  2. Step 2: Convert to fraction form
    51,064/112,207 = 112,207/x
  3. Step 3: Cross multiply
    51,064x = 112,207 × 112,207
  4. Step 4: Simplify right side
    51,064x = 12,590,410,849
  5. Step 5: Solve for x
    x = 12,590,410,849/51,064
  6. Step 6: Final answer
    x = 246,561.39

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.