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Finding the Third Proportional to 127,038 and 186,672

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Solution

The third proportional to 127,038 and 186,672 is: 274,299.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,038 : 186,672 = 186,672 : x
  2. Step 2: Convert to fraction form
    127,038/186,672 = 186,672/x
  3. Step 3: Cross multiply
    127,038x = 186,672 × 186,672
  4. Step 4: Simplify right side
    127,038x = 34,846,435,584
  5. Step 5: Solve for x
    x = 34,846,435,584/127,038
  6. Step 6: Final answer
    x = 274,299.31

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.