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Finding the Third Proportional to 92,623 and 140,933

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Solution

The third proportional to 92,623 and 140,933 is: 214,440.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,623 : 140,933 = 140,933 : x
  2. Step 2: Convert to fraction form
    92,623/140,933 = 140,933/x
  3. Step 3: Cross multiply
    92,623x = 140,933 × 140,933
  4. Step 4: Simplify right side
    92,623x = 19,862,110,489
  5. Step 5: Solve for x
    x = 19,862,110,489/92,623
  6. Step 6: Final answer
    x = 214,440.37

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.