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Finding the Third Proportional to 27,634 and 60,158

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Solution

The third proportional to 27,634 and 60,158 is: 130,961.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,634 : 60,158 = 60,158 : x
  2. Step 2: Convert to fraction form
    27,634/60,158 = 60,158/x
  3. Step 3: Cross multiply
    27,634x = 60,158 × 60,158
  4. Step 4: Simplify right side
    27,634x = 3,618,984,964
  5. Step 5: Solve for x
    x = 3,618,984,964/27,634
  6. Step 6: Final answer
    x = 130,961.31

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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.