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Finding the Third Proportional to 83,673.75 and 117,033.75

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Solution

The third proportional to 83,673.75 and 117,033.75 is: 163,694.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,673.75 : 117,033.75 = 117,033.75 : x
  2. Step 2: Convert to fraction form
    83,673.75/117,033.75 = 117,033.75/x
  3. Step 3: Cross multiply
    83,673.75x = 117,033.75 × 117,033.75
  4. Step 4: Simplify right side
    83,673.75x = 13,696,898,639.06
  5. Step 5: Solve for x
    x = 13,696,898,639.06/83,673.75
  6. Step 6: Final answer
    x = 163,694.09

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.