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Finding the Third Proportional to 109,168 and 173,594

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Solution

The third proportional to 109,168 and 173,594 is: 276,041.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,168 : 173,594 = 173,594 : x
  2. Step 2: Convert to fraction form
    109,168/173,594 = 173,594/x
  3. Step 3: Cross multiply
    109,168x = 173,594 × 173,594
  4. Step 4: Simplify right side
    109,168x = 30,134,876,836
  5. Step 5: Solve for x
    x = 30,134,876,836/109,168
  6. Step 6: Final answer
    x = 276,041.30

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