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Finding the Third Proportional to 109,213 and 173,655

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Solution

The third proportional to 109,213 and 173,655 is: 276,121.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,213 : 173,655 = 173,655 : x
  2. Step 2: Convert to fraction form
    109,213/173,655 = 173,655/x
  3. Step 3: Cross multiply
    109,213x = 173,655 × 173,655
  4. Step 4: Simplify right side
    109,213x = 30,156,059,025
  5. Step 5: Solve for x
    x = 30,156,059,025/109,213
  6. Step 6: Final answer
    x = 276,121.52

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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.