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Finding the Third Proportional to 127,585.13 and 274,671

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Solution

The third proportional to 127,585.13 and 274,671 is: 591,324.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,585.13 : 274,671 = 274,671 : x
  2. Step 2: Convert to fraction form
    127,585.13/274,671 = 274,671/x
  3. Step 3: Cross multiply
    127,585.13x = 274,671 × 274,671
  4. Step 4: Simplify right side
    127,585.13x = 75,444,158,241
  5. Step 5: Solve for x
    x = 75,444,158,241/127,585.13
  6. Step 6: Final answer
    x = 591,324.09

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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.