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Finding the Third Proportional to 87,623 and 123,984

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Solution

The third proportional to 87,623 and 123,984 is: 175,433.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,623 : 123,984 = 123,984 : x
  2. Step 2: Convert to fraction form
    87,623/123,984 = 123,984/x
  3. Step 3: Cross multiply
    87,623x = 123,984 × 123,984
  4. Step 4: Simplify right side
    87,623x = 15,372,032,256
  5. Step 5: Solve for x
    x = 15,372,032,256/87,623
  6. Step 6: Final answer
    x = 175,433.76

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.