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Finding the Third Proportional to 126,576 and 178,080

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Solution

The third proportional to 126,576 and 178,080 is: 250,541.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,576 : 178,080 = 178,080 : x
  2. Step 2: Convert to fraction form
    126,576/178,080 = 178,080/x
  3. Step 3: Cross multiply
    126,576x = 178,080 × 178,080
  4. Step 4: Simplify right side
    126,576x = 31,712,486,400
  5. Step 5: Solve for x
    x = 31,712,486,400/126,576
  6. Step 6: Final answer
    x = 250,541.07

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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.