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Finding the Third Proportional to 83,025.84 and 171,959.63

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Solution

The third proportional to 83,025.84 and 171,959.63 is: 356,155.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,025.84 : 171,959.63 = 171,959.63 : x
  2. Step 2: Convert to fraction form
    83,025.84/171,959.63 = 171,959.63/x
  3. Step 3: Cross multiply
    83,025.84x = 171,959.63 × 171,959.63
  4. Step 4: Simplify right side
    83,025.84x = 29,570,112,630.14
  5. Step 5: Solve for x
    x = 29,570,112,630.14/83,025.84
  6. Step 6: Final answer
    x = 356,155.52

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These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.