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Finding the Third Proportional to 76,902.75 and 166,072.50

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Solution

The third proportional to 76,902.75 and 166,072.50 is: 358,635.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,902.75 : 166,072.50 = 166,072.50 : x
  2. Step 2: Convert to fraction form
    76,902.75/166,072.50 = 166,072.50/x
  3. Step 3: Cross multiply
    76,902.75x = 166,072.50 × 166,072.50
  4. Step 4: Simplify right side
    76,902.75x = 27,580,075,256.25
  5. Step 5: Solve for x
    x = 27,580,075,256.25/76,902.75
  6. Step 6: Final answer
    x = 358,635.75

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.