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Finding the Third Proportional to 76,133.25 and 167,454

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Solution

The third proportional to 76,133.25 and 167,454 is: 368,312.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,133.25 : 167,454 = 167,454 : x
  2. Step 2: Convert to fraction form
    76,133.25/167,454 = 167,454/x
  3. Step 3: Cross multiply
    76,133.25x = 167,454 × 167,454
  4. Step 4: Simplify right side
    76,133.25x = 28,040,842,116
  5. Step 5: Solve for x
    x = 28,040,842,116/76,133.25
  6. Step 6: Final answer
    x = 368,312.69

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.