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Finding the Third Proportional to 83,980.75 and 128,411.25

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Solution

The third proportional to 83,980.75 and 128,411.25 is: 196,347.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,980.75 : 128,411.25 = 128,411.25 : x
  2. Step 2: Convert to fraction form
    83,980.75/128,411.25 = 128,411.25/x
  3. Step 3: Cross multiply
    83,980.75x = 128,411.25 × 128,411.25
  4. Step 4: Simplify right side
    83,980.75x = 16,489,449,126.56
  5. Step 5: Solve for x
    x = 16,489,449,126.56/83,980.75
  6. Step 6: Final answer
    x = 196,347.96

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.