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Finding the Third Proportional to 122,154 and 178,854

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Solution

The third proportional to 122,154 and 178,854 is: 261,872.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,154 : 178,854 = 178,854 : x
  2. Step 2: Convert to fraction form
    122,154/178,854 = 178,854/x
  3. Step 3: Cross multiply
    122,154x = 178,854 × 178,854
  4. Step 4: Simplify right side
    122,154x = 31,988,753,316
  5. Step 5: Solve for x
    x = 31,988,753,316/122,154
  6. Step 6: Final answer
    x = 261,872.34

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Why These Related Problems?

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