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Finding the Third Proportional to 79,812.75 and 174,583.50

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Solution

The third proportional to 79,812.75 and 174,583.50 is: 381,886.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,812.75 : 174,583.50 = 174,583.50 : x
  2. Step 2: Convert to fraction form
    79,812.75/174,583.50 = 174,583.50/x
  3. Step 3: Cross multiply
    79,812.75x = 174,583.50 × 174,583.50
  4. Step 4: Simplify right side
    79,812.75x = 30,479,398,472.25
  5. Step 5: Solve for x
    x = 30,479,398,472.25/79,812.75
  6. Step 6: Final answer
    x = 381,886.33

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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.