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Finding the Third Proportional to 72,792 and 158,397

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Solution

The third proportional to 72,792 and 158,397 is: 344,675.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,792 : 158,397 = 158,397 : x
  2. Step 2: Convert to fraction form
    72,792/158,397 = 158,397/x
  3. Step 3: Cross multiply
    72,792x = 158,397 × 158,397
  4. Step 4: Simplify right side
    72,792x = 25,089,609,609
  5. Step 5: Solve for x
    x = 25,089,609,609/72,792
  6. Step 6: Final answer
    x = 344,675.37

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.