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Finding the Third Proportional to 94,122 and 139,563

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Solution

The third proportional to 94,122 and 139,563 is: 206,942.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,122 : 139,563 = 139,563 : x
  2. Step 2: Convert to fraction form
    94,122/139,563 = 139,563/x
  3. Step 3: Cross multiply
    94,122x = 139,563 × 139,563
  4. Step 4: Simplify right side
    94,122x = 19,477,830,969
  5. Step 5: Solve for x
    x = 19,477,830,969/94,122
  6. Step 6: Final answer
    x = 206,942.38

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.