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Finding the Third Proportional to 75,994 and 117,962

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Solution

The third proportional to 75,994 and 117,962 is: 183,107.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,994 : 117,962 = 117,962 : x
  2. Step 2: Convert to fraction form
    75,994/117,962 = 117,962/x
  3. Step 3: Cross multiply
    75,994x = 117,962 × 117,962
  4. Step 4: Simplify right side
    75,994x = 13,915,033,444
  5. Step 5: Solve for x
    x = 13,915,033,444/75,994
  6. Step 6: Final answer
    x = 183,107.00

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.