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Finding the Third Proportional to 127,080 and 273,096

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Solution

The third proportional to 127,080 and 273,096 is: 586,885.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,080 : 273,096 = 273,096 : x
  2. Step 2: Convert to fraction form
    127,080/273,096 = 273,096/x
  3. Step 3: Cross multiply
    127,080x = 273,096 × 273,096
  4. Step 4: Simplify right side
    127,080x = 74,581,425,216
  5. Step 5: Solve for x
    x = 74,581,425,216/127,080
  6. Step 6: Final answer
    x = 586,885.62

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.