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Finding the Third Proportional to 118,952 and 173,961

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Solution

The third proportional to 118,952 and 173,961 is: 254,408.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,952 : 173,961 = 173,961 : x
  2. Step 2: Convert to fraction form
    118,952/173,961 = 173,961/x
  3. Step 3: Cross multiply
    118,952x = 173,961 × 173,961
  4. Step 4: Simplify right side
    118,952x = 30,262,429,521
  5. Step 5: Solve for x
    x = 30,262,429,521/118,952
  6. Step 6: Final answer
    x = 254,408.75

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.