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Finding the Third Proportional to 34,685 and 73,690

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Solution

The third proportional to 34,685 and 73,690 is: 156,558.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,685 : 73,690 = 73,690 : x
  2. Step 2: Convert to fraction form
    34,685/73,690 = 73,690/x
  3. Step 3: Cross multiply
    34,685x = 73,690 × 73,690
  4. Step 4: Simplify right side
    34,685x = 5,430,216,100
  5. Step 5: Solve for x
    x = 5,430,216,100/34,685
  6. Step 6: Final answer
    x = 156,558.05

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.