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Finding the Third Proportional to 27,878 and 60,130

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Solution

The third proportional to 27,878 and 60,130 is: 129,694.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,878 : 60,130 = 60,130 : x
  2. Step 2: Convert to fraction form
    27,878/60,130 = 60,130/x
  3. Step 3: Cross multiply
    27,878x = 60,130 × 60,130
  4. Step 4: Simplify right side
    27,878x = 3,615,616,900
  5. Step 5: Solve for x
    x = 3,615,616,900/27,878
  6. Step 6: Final answer
    x = 129,694.27

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.