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Finding the Third Proportional to 73,852.50 and 110,751

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Solution

The third proportional to 73,852.50 and 110,751 is: 166,084.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,852.50 : 110,751 = 110,751 : x
  2. Step 2: Convert to fraction form
    73,852.50/110,751 = 110,751/x
  3. Step 3: Cross multiply
    73,852.50x = 110,751 × 110,751
  4. Step 4: Simplify right side
    73,852.50x = 12,265,784,001
  5. Step 5: Solve for x
    x = 12,265,784,001/73,852.50
  6. Step 6: Final answer
    x = 166,084.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.