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Finding the Third Proportional to 54,551.25 and 83,828.25

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Solution

The third proportional to 54,551.25 and 83,828.25 is: 128,817.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,551.25 : 83,828.25 = 83,828.25 : x
  2. Step 2: Convert to fraction form
    54,551.25/83,828.25 = 83,828.25/x
  3. Step 3: Cross multiply
    54,551.25x = 83,828.25 × 83,828.25
  4. Step 4: Simplify right side
    54,551.25x = 7,027,175,498.06
  5. Step 5: Solve for x
    x = 7,027,175,498.06/54,551.25
  6. Step 6: Final answer
    x = 128,817.86

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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.