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Finding the Third Proportional to 126,900 and 178,545

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Solution

The third proportional to 126,900 and 178,545 is: 251,208.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,900 : 178,545 = 178,545 : x
  2. Step 2: Convert to fraction form
    126,900/178,545 = 178,545/x
  3. Step 3: Cross multiply
    126,900x = 178,545 × 178,545
  4. Step 4: Simplify right side
    126,900x = 31,878,317,025
  5. Step 5: Solve for x
    x = 31,878,317,025/126,900
  6. Step 6: Final answer
    x = 251,208.17

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.