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Finding the Third Proportional to 28,106 and 60,219

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Solution

The third proportional to 28,106 and 60,219 is: 129,023.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,106 : 60,219 = 60,219 : x
  2. Step 2: Convert to fraction form
    28,106/60,219 = 60,219/x
  3. Step 3: Cross multiply
    28,106x = 60,219 × 60,219
  4. Step 4: Simplify right side
    28,106x = 3,626,327,961
  5. Step 5: Solve for x
    x = 3,626,327,961/28,106
  6. Step 6: Final answer
    x = 129,023.27

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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.