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Finding the Third Proportional to 51,201 and 104,953

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Solution

The third proportional to 51,201 and 104,953 is: 215,135.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,201 : 104,953 = 104,953 : x
  2. Step 2: Convert to fraction form
    51,201/104,953 = 104,953/x
  3. Step 3: Cross multiply
    51,201x = 104,953 × 104,953
  4. Step 4: Simplify right side
    51,201x = 11,015,132,209
  5. Step 5: Solve for x
    x = 11,015,132,209/51,201
  6. Step 6: Final answer
    x = 215,135.10

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.