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Finding the Third Proportional to 54,578.81 and 83,326.22

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Solution

The third proportional to 54,578.81 and 83,326.22 is: 127,215.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,578.81 : 83,326.22 = 83,326.22 : x
  2. Step 2: Convert to fraction form
    54,578.81/83,326.22 = 83,326.22/x
  3. Step 3: Cross multiply
    54,578.81x = 83,326.22 × 83,326.22
  4. Step 4: Simplify right side
    54,578.81x = 6,943,258,731.17
  5. Step 5: Solve for x
    x = 6,943,258,731.17/54,578.81
  6. Step 6: Final answer
    x = 127,215.28

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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.