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Finding the Third Proportional to 26,174 and 58,153

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Solution

The third proportional to 26,174 and 58,153 is: 129,203.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,174 : 58,153 = 58,153 : x
  2. Step 2: Convert to fraction form
    26,174/58,153 = 58,153/x
  3. Step 3: Cross multiply
    26,174x = 58,153 × 58,153
  4. Step 4: Simplify right side
    26,174x = 3,381,771,409
  5. Step 5: Solve for x
    x = 3,381,771,409/26,174
  6. Step 6: Final answer
    x = 129,203.46

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.