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Finding the Third Proportional to 34,554 and 74,562

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Solution

The third proportional to 34,554 and 74,562 is: 160,892.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,554 : 74,562 = 74,562 : x
  2. Step 2: Convert to fraction form
    34,554/74,562 = 74,562/x
  3. Step 3: Cross multiply
    34,554x = 74,562 × 74,562
  4. Step 4: Simplify right side
    34,554x = 5,559,491,844
  5. Step 5: Solve for x
    x = 5,559,491,844/34,554
  6. Step 6: Final answer
    x = 160,892.86

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.