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Finding the Third Proportional to 34,360 and 74,551

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Solution

The third proportional to 34,360 and 74,551 is: 161,753.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,360 : 74,551 = 74,551 : x
  2. Step 2: Convert to fraction form
    34,360/74,551 = 74,551/x
  3. Step 3: Cross multiply
    34,360x = 74,551 × 74,551
  4. Step 4: Simplify right side
    34,360x = 5,557,851,601
  5. Step 5: Solve for x
    x = 5,557,851,601/34,360
  6. Step 6: Final answer
    x = 161,753.54

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.