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Finding the Third Proportional to 77,608 and 167,582

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Solution

The third proportional to 77,608 and 167,582 is: 361,866.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,608 : 167,582 = 167,582 : x
  2. Step 2: Convert to fraction form
    77,608/167,582 = 167,582/x
  3. Step 3: Cross multiply
    77,608x = 167,582 × 167,582
  4. Step 4: Simplify right side
    77,608x = 28,083,726,724
  5. Step 5: Solve for x
    x = 28,083,726,724/77,608
  6. Step 6: Final answer
    x = 361,866.39

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.