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Finding the Third Proportional to 104,247 and 167,852.25

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Solution

The third proportional to 104,247 and 167,852.25 is: 270,265.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,247 : 167,852.25 = 167,852.25 : x
  2. Step 2: Convert to fraction form
    104,247/167,852.25 = 167,852.25/x
  3. Step 3: Cross multiply
    104,247x = 167,852.25 × 167,852.25
  4. Step 4: Simplify right side
    104,247x = 28,174,377,830.06
  5. Step 5: Solve for x
    x = 28,174,377,830.06/104,247
  6. Step 6: Final answer
    x = 270,265.60

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.