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Finding the Third Proportional to 28,742 and 60,100

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Solution

The third proportional to 28,742 and 60,100 is: 125,670.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,742 : 60,100 = 60,100 : x
  2. Step 2: Convert to fraction form
    28,742/60,100 = 60,100/x
  3. Step 3: Cross multiply
    28,742x = 60,100 × 60,100
  4. Step 4: Simplify right side
    28,742x = 3,612,010,000
  5. Step 5: Solve for x
    x = 3,612,010,000/28,742
  6. Step 6: Final answer
    x = 125,670.10

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.