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Finding the Third Proportional to 56,296 and 81,784

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Solution

The third proportional to 56,296 and 81,784 is: 118,811.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,296 : 81,784 = 81,784 : x
  2. Step 2: Convert to fraction form
    56,296/81,784 = 81,784/x
  3. Step 3: Cross multiply
    56,296x = 81,784 × 81,784
  4. Step 4: Simplify right side
    56,296x = 6,688,622,656
  5. Step 5: Solve for x
    x = 6,688,622,656/56,296
  6. Step 6: Final answer
    x = 118,811.69

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.