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Finding the Third Proportional to 57,928 and 126,944

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Solution

The third proportional to 57,928 and 126,944 is: 278,186.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,928 : 126,944 = 126,944 : x
  2. Step 2: Convert to fraction form
    57,928/126,944 = 126,944/x
  3. Step 3: Cross multiply
    57,928x = 126,944 × 126,944
  4. Step 4: Simplify right side
    57,928x = 16,114,779,136
  5. Step 5: Solve for x
    x = 16,114,779,136/57,928
  6. Step 6: Final answer
    x = 278,186.35

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.