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Finding the Third Proportional to 122,184 and 178,905

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Solution

The third proportional to 122,184 and 178,905 is: 261,957.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,184 : 178,905 = 178,905 : x
  2. Step 2: Convert to fraction form
    122,184/178,905 = 178,905/x
  3. Step 3: Cross multiply
    122,184x = 178,905 × 178,905
  4. Step 4: Simplify right side
    122,184x = 32,006,999,025
  5. Step 5: Solve for x
    x = 32,006,999,025/122,184
  6. Step 6: Final answer
    x = 261,957.37

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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.