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Finding the Third Proportional to 54,264.94 and 83,458.69

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Solution

The third proportional to 54,264.94 and 83,458.69 is: 128,358.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,264.94 : 83,458.69 = 83,458.69 : x
  2. Step 2: Convert to fraction form
    54,264.94/83,458.69 = 83,458.69/x
  3. Step 3: Cross multiply
    54,264.94x = 83,458.69 × 83,458.69
  4. Step 4: Simplify right side
    54,264.94x = 6,965,352,519.22
  5. Step 5: Solve for x
    x = 6,965,352,519.22/54,264.94
  6. Step 6: Final answer
    x = 128,358.25

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.