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Finding the Third Proportional to 75,980 and 117,954

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Solution

The third proportional to 75,980 and 117,954 is: 183,115.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,980 : 117,954 = 117,954 : x
  2. Step 2: Convert to fraction form
    75,980/117,954 = 117,954/x
  3. Step 3: Cross multiply
    75,980x = 117,954 × 117,954
  4. Step 4: Simplify right side
    75,980x = 13,913,146,116
  5. Step 5: Solve for x
    x = 13,913,146,116/75,980
  6. Step 6: Final answer
    x = 183,115.90

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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.