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Finding the Third Proportional to 51,652 and 110,354

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Solution

The third proportional to 51,652 and 110,354 is: 235,770.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,652 : 110,354 = 110,354 : x
  2. Step 2: Convert to fraction form
    51,652/110,354 = 110,354/x
  3. Step 3: Cross multiply
    51,652x = 110,354 × 110,354
  4. Step 4: Simplify right side
    51,652x = 12,178,005,316
  5. Step 5: Solve for x
    x = 12,178,005,316/51,652
  6. Step 6: Final answer
    x = 235,770.26

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.