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Finding the Third Proportional to 102,804.19 and 161,306.44

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Solution

The third proportional to 102,804.19 and 161,306.44 is: 253,100.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,804.19 : 161,306.44 = 161,306.44 : x
  2. Step 2: Convert to fraction form
    102,804.19/161,306.44 = 161,306.44/x
  3. Step 3: Cross multiply
    102,804.19x = 161,306.44 × 161,306.44
  4. Step 4: Simplify right side
    102,804.19x = 26,019,766,778.94
  5. Step 5: Solve for x
    x = 26,019,766,778.94/102,804.19
  6. Step 6: Final answer
    x = 253,100.26

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.