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Finding the Third Proportional to 89,127 and 193,623

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Solution

The third proportional to 89,127 and 193,623 is: 420,634.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,127 : 193,623 = 193,623 : x
  2. Step 2: Convert to fraction form
    89,127/193,623 = 193,623/x
  3. Step 3: Cross multiply
    89,127x = 193,623 × 193,623
  4. Step 4: Simplify right side
    89,127x = 37,489,866,129
  5. Step 5: Solve for x
    x = 37,489,866,129/89,127
  6. Step 6: Final answer
    x = 420,634.22

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.