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Finding the Third Proportional to 57,972 and 127,014

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Solution

The third proportional to 57,972 and 127,014 is: 278,281.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,972 : 127,014 = 127,014 : x
  2. Step 2: Convert to fraction form
    57,972/127,014 = 127,014/x
  3. Step 3: Cross multiply
    57,972x = 127,014 × 127,014
  4. Step 4: Simplify right side
    57,972x = 16,132,556,196
  5. Step 5: Solve for x
    x = 16,132,556,196/57,972
  6. Step 6: Final answer
    x = 278,281.86

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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.