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Finding the Third Proportional to 81,623 and 115,536

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Solution

The third proportional to 81,623 and 115,536 is: 163,539.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,623 : 115,536 = 115,536 : x
  2. Step 2: Convert to fraction form
    81,623/115,536 = 115,536/x
  3. Step 3: Cross multiply
    81,623x = 115,536 × 115,536
  4. Step 4: Simplify right side
    81,623x = 13,348,567,296
  5. Step 5: Solve for x
    x = 13,348,567,296/81,623
  6. Step 6: Final answer
    x = 163,539.29

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.