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Finding the Third Proportional to 83,629 and 183,115

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Solution

The third proportional to 83,629 and 183,115 is: 400,950.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,629 : 183,115 = 183,115 : x
  2. Step 2: Convert to fraction form
    83,629/183,115 = 183,115/x
  3. Step 3: Cross multiply
    83,629x = 183,115 × 183,115
  4. Step 4: Simplify right side
    83,629x = 33,531,103,225
  5. Step 5: Solve for x
    x = 33,531,103,225/83,629
  6. Step 6: Final answer
    x = 400,950.67

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.