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Finding the Third Proportional to 71,235 and 167,603.75

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Solution

The third proportional to 71,235 and 167,603.75 is: 394,342.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,235 : 167,603.75 = 167,603.75 : x
  2. Step 2: Convert to fraction form
    71,235/167,603.75 = 167,603.75/x
  3. Step 3: Cross multiply
    71,235x = 167,603.75 × 167,603.75
  4. Step 4: Simplify right side
    71,235x = 28,091,017,014.06
  5. Step 5: Solve for x
    x = 28,091,017,014.06/71,235
  6. Step 6: Final answer
    x = 394,342.91

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.