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Finding the Third Proportional to 56,486.25 and 84,732.75

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Solution

The third proportional to 56,486.25 and 84,732.75 is: 127,104.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,486.25 : 84,732.75 = 84,732.75 : x
  2. Step 2: Convert to fraction form
    56,486.25/84,732.75 = 84,732.75/x
  3. Step 3: Cross multiply
    56,486.25x = 84,732.75 × 84,732.75
  4. Step 4: Simplify right side
    56,486.25x = 7,179,638,922.56
  5. Step 5: Solve for x
    x = 7,179,638,922.56/56,486.25
  6. Step 6: Final answer
    x = 127,104.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.