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Finding the Third Proportional to 34,954 and 74,807

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Solution

The third proportional to 34,954 and 74,807 is: 160,098.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,954 : 74,807 = 74,807 : x
  2. Step 2: Convert to fraction form
    34,954/74,807 = 74,807/x
  3. Step 3: Cross multiply
    34,954x = 74,807 × 74,807
  4. Step 4: Simplify right side
    34,954x = 5,596,087,249
  5. Step 5: Solve for x
    x = 5,596,087,249/34,954
  6. Step 6: Final answer
    x = 160,098.62

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.