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Finding the Third Proportional to 54,048 and 86,341

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Solution

The third proportional to 54,048 and 86,341 is: 137,928.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,048 : 86,341 = 86,341 : x
  2. Step 2: Convert to fraction form
    54,048/86,341 = 86,341/x
  3. Step 3: Cross multiply
    54,048x = 86,341 × 86,341
  4. Step 4: Simplify right side
    54,048x = 7,454,768,281
  5. Step 5: Solve for x
    x = 7,454,768,281/54,048
  6. Step 6: Final answer
    x = 137,928.66

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.