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Finding the Third Proportional to 81,903 and 146,755.50

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Solution

The third proportional to 81,903 and 146,755.50 is: 262,959.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,903 : 146,755.50 = 146,755.50 : x
  2. Step 2: Convert to fraction form
    81,903/146,755.50 = 146,755.50/x
  3. Step 3: Cross multiply
    81,903x = 146,755.50 × 146,755.50
  4. Step 4: Simplify right side
    81,903x = 21,537,176,780.25
  5. Step 5: Solve for x
    x = 21,537,176,780.25/81,903
  6. Step 6: Final answer
    x = 262,959.56

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These problems maintain the same ratio (1.79) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.