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Finding the Third Proportional to 111,994 and 161,367

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Solution

The third proportional to 111,994 and 161,367 is: 232,506.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,994 : 161,367 = 161,367 : x
  2. Step 2: Convert to fraction form
    111,994/161,367 = 161,367/x
  3. Step 3: Cross multiply
    111,994x = 161,367 × 161,367
  4. Step 4: Simplify right side
    111,994x = 26,039,308,689
  5. Step 5: Solve for x
    x = 26,039,308,689/111,994
  6. Step 6: Final answer
    x = 232,506.28

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.