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Finding the Third Proportional to 82,283.50 and 122,883.50

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Solution

The third proportional to 82,283.50 and 122,883.50 is: 183,516.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,283.50 : 122,883.50 = 122,883.50 : x
  2. Step 2: Convert to fraction form
    82,283.50/122,883.50 = 122,883.50/x
  3. Step 3: Cross multiply
    82,283.50x = 122,883.50 × 122,883.50
  4. Step 4: Simplify right side
    82,283.50x = 15,100,354,572.25
  5. Step 5: Solve for x
    x = 15,100,354,572.25/82,283.50
  6. Step 6: Final answer
    x = 183,516.19

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.