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Finding the Third Proportional to 54,686.39 and 89,297.44

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Solution

The third proportional to 54,686.39 and 89,297.44 is: 145,813.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,686.39 : 89,297.44 = 89,297.44 : x
  2. Step 2: Convert to fraction form
    54,686.39/89,297.44 = 89,297.44/x
  3. Step 3: Cross multiply
    54,686.39x = 89,297.44 × 89,297.44
  4. Step 4: Simplify right side
    54,686.39x = 7,974,032,344.07
  5. Step 5: Solve for x
    x = 7,974,032,344.07/54,686.39
  6. Step 6: Final answer
    x = 145,813.84

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.