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Finding the Third Proportional to 54,044.63 and 86,336.63

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Solution

The third proportional to 54,044.63 and 86,336.63 is: 137,923.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,044.63 : 86,336.63 = 86,336.63 : x
  2. Step 2: Convert to fraction form
    54,044.63/86,336.63 = 86,336.63/x
  3. Step 3: Cross multiply
    54,044.63x = 86,336.63 × 86,336.63
  4. Step 4: Simplify right side
    54,044.63x = 7,454,012,816.39
  5. Step 5: Solve for x
    x = 7,454,012,816.39/54,044.63
  6. Step 6: Final answer
    x = 137,923.30

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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.