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Finding the Third Proportional to 85,331.44 and 122,916.23

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Solution

The third proportional to 85,331.44 and 122,916.23 is: 177,055.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,331.44 : 122,916.23 = 122,916.23 : x
  2. Step 2: Convert to fraction form
    85,331.44/122,916.23 = 122,916.23/x
  3. Step 3: Cross multiply
    85,331.44x = 122,916.23 × 122,916.23
  4. Step 4: Simplify right side
    85,331.44x = 15,108,400,672.93
  5. Step 5: Solve for x
    x = 15,108,400,672.93/85,331.44
  6. Step 6: Final answer
    x = 177,055.49

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.