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Finding the Third Proportional to 126,549 and 178,007

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Solution

The third proportional to 126,549 and 178,007 is: 250,389.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,549 : 178,007 = 178,007 : x
  2. Step 2: Convert to fraction form
    126,549/178,007 = 178,007/x
  3. Step 3: Cross multiply
    126,549x = 178,007 × 178,007
  4. Step 4: Simplify right side
    126,549x = 31,686,492,049
  5. Step 5: Solve for x
    x = 31,686,492,049/126,549
  6. Step 6: Final answer
    x = 250,389.11

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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.