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Finding the Third Proportional to 27,613 and 60,114

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Solution

The third proportional to 27,613 and 60,114 is: 130,869.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,613 : 60,114 = 60,114 : x
  2. Step 2: Convert to fraction form
    27,613/60,114 = 60,114/x
  3. Step 3: Cross multiply
    27,613x = 60,114 × 60,114
  4. Step 4: Simplify right side
    27,613x = 3,613,692,996
  5. Step 5: Solve for x
    x = 3,613,692,996/27,613
  6. Step 6: Final answer
    x = 130,869.26

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.