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Finding the Third Proportional to 43,415.50 and 88,037.50

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Solution

The third proportional to 43,415.50 and 88,037.50 is: 178,521.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,415.50 : 88,037.50 = 88,037.50 : x
  2. Step 2: Convert to fraction form
    43,415.50/88,037.50 = 88,037.50/x
  3. Step 3: Cross multiply
    43,415.50x = 88,037.50 × 88,037.50
  4. Step 4: Simplify right side
    43,415.50x = 7,750,601,406.25
  5. Step 5: Solve for x
    x = 7,750,601,406.25/43,415.50
  6. Step 6: Final answer
    x = 178,521.53

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.