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Finding the Third Proportional to 117,032 and 179,922

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Solution

The third proportional to 117,032 and 179,922 is: 276,607.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,032 : 179,922 = 179,922 : x
  2. Step 2: Convert to fraction form
    117,032/179,922 = 179,922/x
  3. Step 3: Cross multiply
    117,032x = 179,922 × 179,922
  4. Step 4: Simplify right side
    117,032x = 32,371,926,084
  5. Step 5: Solve for x
    x = 32,371,926,084/117,032
  6. Step 6: Final answer
    x = 276,607.48

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Why These Related Problems?

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