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Finding the Third Proportional to 67,723 and 103,303

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Solution

The third proportional to 67,723 and 103,303 is: 157,575.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,723 : 103,303 = 103,303 : x
  2. Step 2: Convert to fraction form
    67,723/103,303 = 103,303/x
  3. Step 3: Cross multiply
    67,723x = 103,303 × 103,303
  4. Step 4: Simplify right side
    67,723x = 10,671,509,809
  5. Step 5: Solve for x
    x = 10,671,509,809/67,723
  6. Step 6: Final answer
    x = 157,575.86

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.