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Finding the Third Proportional to 83,021.50 and 183,486

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Solution

The third proportional to 83,021.50 and 183,486 is: 405,522.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,021.50 : 183,486 = 183,486 : x
  2. Step 2: Convert to fraction form
    83,021.50/183,486 = 183,486/x
  3. Step 3: Cross multiply
    83,021.50x = 183,486 × 183,486
  4. Step 4: Simplify right side
    83,021.50x = 33,667,112,196
  5. Step 5: Solve for x
    x = 33,667,112,196/83,021.50
  6. Step 6: Final answer
    x = 405,522.81

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These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.