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Finding the Third Proportional to 81,116 and 174,706.63

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Solution

The third proportional to 81,116 and 174,706.63 is: 376,280.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,116 : 174,706.63 = 174,706.63 : x
  2. Step 2: Convert to fraction form
    81,116/174,706.63 = 174,706.63/x
  3. Step 3: Cross multiply
    81,116x = 174,706.63 × 174,706.63
  4. Step 4: Simplify right side
    81,116x = 30,522,404,818.89
  5. Step 5: Solve for x
    x = 30,522,404,818.89/81,116
  6. Step 6: Final answer
    x = 376,280.94

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.