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Finding the Third Proportional to 117,008 and 185,977

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Solution

The third proportional to 117,008 and 185,977 is: 295,598.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,008 : 185,977 = 185,977 : x
  2. Step 2: Convert to fraction form
    117,008/185,977 = 185,977/x
  3. Step 3: Cross multiply
    117,008x = 185,977 × 185,977
  4. Step 4: Simplify right side
    117,008x = 34,587,444,529
  5. Step 5: Solve for x
    x = 34,587,444,529/117,008
  6. Step 6: Final answer
    x = 295,598.97

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.