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Finding the Third Proportional to 51,754.50 and 96,124.50

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Solution

The third proportional to 51,754.50 and 96,124.50 is: 178,533.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,754.50 : 96,124.50 = 96,124.50 : x
  2. Step 2: Convert to fraction form
    51,754.50/96,124.50 = 96,124.50/x
  3. Step 3: Cross multiply
    51,754.50x = 96,124.50 × 96,124.50
  4. Step 4: Simplify right side
    51,754.50x = 9,239,919,500.25
  5. Step 5: Solve for x
    x = 9,239,919,500.25/51,754.50
  6. Step 6: Final answer
    x = 178,533.64

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.