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Finding the Third Proportional to 54,328.54 and 83,107.90

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Solution

The third proportional to 54,328.54 and 83,107.90 is: 127,132.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,328.54 : 83,107.90 = 83,107.90 : x
  2. Step 2: Convert to fraction form
    54,328.54/83,107.90 = 83,107.90/x
  3. Step 3: Cross multiply
    54,328.54x = 83,107.90 × 83,107.90
  4. Step 4: Simplify right side
    54,328.54x = 6,906,922,782.70
  5. Step 5: Solve for x
    x = 6,906,922,782.70/54,328.54
  6. Step 6: Final answer
    x = 127,132.51

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.