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Finding the Third Proportional to 58,619 and 90,824

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Solution

The third proportional to 58,619 and 90,824 is: 140,722.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,619 : 90,824 = 90,824 : x
  2. Step 2: Convert to fraction form
    58,619/90,824 = 90,824/x
  3. Step 3: Cross multiply
    58,619x = 90,824 × 90,824
  4. Step 4: Simplify right side
    58,619x = 8,248,998,976
  5. Step 5: Solve for x
    x = 8,248,998,976/58,619
  6. Step 6: Final answer
    x = 140,722.27

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.