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Finding the Third Proportional to 56,096 and 86,844

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Solution

The third proportional to 56,096 and 86,844 is: 134,445.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,096 : 86,844 = 86,844 : x
  2. Step 2: Convert to fraction form
    56,096/86,844 = 86,844/x
  3. Step 3: Cross multiply
    56,096x = 86,844 × 86,844
  4. Step 4: Simplify right side
    56,096x = 7,541,880,336
  5. Step 5: Solve for x
    x = 7,541,880,336/56,096
  6. Step 6: Final answer
    x = 134,445.96

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.