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Finding the Third Proportional to 52,626 and 78,690

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Solution

The third proportional to 52,626 and 78,690 is: 117,662.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,626 : 78,690 = 78,690 : x
  2. Step 2: Convert to fraction form
    52,626/78,690 = 78,690/x
  3. Step 3: Cross multiply
    52,626x = 78,690 × 78,690
  4. Step 4: Simplify right side
    52,626x = 6,192,116,100
  5. Step 5: Solve for x
    x = 6,192,116,100/52,626
  6. Step 6: Final answer
    x = 117,662.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.