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Finding the Third Proportional to 43,177.50 and 93,735

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Solution

The third proportional to 43,177.50 and 93,735 is: 203,491.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,177.50 : 93,735 = 93,735 : x
  2. Step 2: Convert to fraction form
    43,177.50/93,735 = 93,735/x
  3. Step 3: Cross multiply
    43,177.50x = 93,735 × 93,735
  4. Step 4: Simplify right side
    43,177.50x = 8,786,250,225
  5. Step 5: Solve for x
    x = 8,786,250,225/43,177.50
  6. Step 6: Final answer
    x = 203,491.41

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.