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Finding the Third Proportional to 66,919 and 91,763

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Solution

The third proportional to 66,919 and 91,763 is: 125,830.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,919 : 91,763 = 91,763 : x
  2. Step 2: Convert to fraction form
    66,919/91,763 = 91,763/x
  3. Step 3: Cross multiply
    66,919x = 91,763 × 91,763
  4. Step 4: Simplify right side
    66,919x = 8,420,448,169
  5. Step 5: Solve for x
    x = 8,420,448,169/66,919
  6. Step 6: Final answer
    x = 125,830.45

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.