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Finding the Third Proportional to 54,693 and 128,774

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Solution

The third proportional to 54,693 and 128,774 is: 303,196.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,693 : 128,774 = 128,774 : x
  2. Step 2: Convert to fraction form
    54,693/128,774 = 128,774/x
  3. Step 3: Cross multiply
    54,693x = 128,774 × 128,774
  4. Step 4: Simplify right side
    54,693x = 16,582,743,076
  5. Step 5: Solve for x
    x = 16,582,743,076/54,693
  6. Step 6: Final answer
    x = 303,196.81

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.