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Finding the Third Proportional to 69,072.75 and 162,587.25

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Solution

The third proportional to 69,072.75 and 162,587.25 is: 382,706.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,072.75 : 162,587.25 = 162,587.25 : x
  2. Step 2: Convert to fraction form
    69,072.75/162,587.25 = 162,587.25/x
  3. Step 3: Cross multiply
    69,072.75x = 162,587.25 × 162,587.25
  4. Step 4: Simplify right side
    69,072.75x = 26,434,613,862.56
  5. Step 5: Solve for x
    x = 26,434,613,862.56/69,072.75
  6. Step 6: Final answer
    x = 382,706.84

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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.