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Finding the Third Proportional to 34,005 and 74,154

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Solution

The third proportional to 34,005 and 74,154 is: 161,706.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,005 : 74,154 = 74,154 : x
  2. Step 2: Convert to fraction form
    34,005/74,154 = 74,154/x
  3. Step 3: Cross multiply
    34,005x = 74,154 × 74,154
  4. Step 4: Simplify right side
    34,005x = 5,498,815,716
  5. Step 5: Solve for x
    x = 5,498,815,716/34,005
  6. Step 6: Final answer
    x = 161,706.09

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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.