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Finding the Third Proportional to 81,364.50 and 176,261.50

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Solution

The third proportional to 81,364.50 and 176,261.50 is: 381,838.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,364.50 : 176,261.50 = 176,261.50 : x
  2. Step 2: Convert to fraction form
    81,364.50/176,261.50 = 176,261.50/x
  3. Step 3: Cross multiply
    81,364.50x = 176,261.50 × 176,261.50
  4. Step 4: Simplify right side
    81,364.50x = 31,068,116,382.25
  5. Step 5: Solve for x
    x = 31,068,116,382.25/81,364.50
  6. Step 6: Final answer
    x = 381,838.72

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.