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Finding the Third Proportional to 117,994 and 180,582

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Solution

The third proportional to 117,994 and 180,582 is: 276,368.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,994 : 180,582 = 180,582 : x
  2. Step 2: Convert to fraction form
    117,994/180,582 = 180,582/x
  3. Step 3: Cross multiply
    117,994x = 180,582 × 180,582
  4. Step 4: Simplify right side
    117,994x = 32,609,858,724
  5. Step 5: Solve for x
    x = 32,609,858,724/117,994
  6. Step 6: Final answer
    x = 276,368.79

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Why These Related Problems?

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