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Finding the Third Proportional to 34,068 and 54,174

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Solution

The third proportional to 34,068 and 54,174 is: 86,146.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,068 : 54,174 = 54,174 : x
  2. Step 2: Convert to fraction form
    34,068/54,174 = 54,174/x
  3. Step 3: Cross multiply
    34,068x = 54,174 × 54,174
  4. Step 4: Simplify right side
    34,068x = 2,934,822,276
  5. Step 5: Solve for x
    x = 2,934,822,276/34,068
  6. Step 6: Final answer
    x = 86,146.01

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.