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Finding the Third Proportional to 76,203 and 167,128

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Solution

The third proportional to 76,203 and 167,128 is: 366,544.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,203 : 167,128 = 167,128 : x
  2. Step 2: Convert to fraction form
    76,203/167,128 = 167,128/x
  3. Step 3: Cross multiply
    76,203x = 167,128 × 167,128
  4. Step 4: Simplify right side
    76,203x = 27,931,768,384
  5. Step 5: Solve for x
    x = 27,931,768,384/76,203
  6. Step 6: Final answer
    x = 366,544.21

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.