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Finding the Third Proportional to 116,993 and 179,714.25

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Solution

The third proportional to 116,993 and 179,714.25 is: 276,061.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,993 : 179,714.25 = 179,714.25 : x
  2. Step 2: Convert to fraction form
    116,993/179,714.25 = 179,714.25/x
  3. Step 3: Cross multiply
    116,993x = 179,714.25 × 179,714.25
  4. Step 4: Simplify right side
    116,993x = 32,297,211,653.06
  5. Step 5: Solve for x
    x = 32,297,211,653.06/116,993
  6. Step 6: Final answer
    x = 276,061.06

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.