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Finding the Third Proportional to 55,329 and 83,828.25

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Solution

The third proportional to 55,329 and 83,828.25 is: 127,007.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,329 : 83,828.25 = 83,828.25 : x
  2. Step 2: Convert to fraction form
    55,329/83,828.25 = 83,828.25/x
  3. Step 3: Cross multiply
    55,329x = 83,828.25 × 83,828.25
  4. Step 4: Simplify right side
    55,329x = 7,027,175,498.06
  5. Step 5: Solve for x
    x = 7,027,175,498.06/55,329
  6. Step 6: Final answer
    x = 127,007.09

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.