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Finding the Third Proportional to 56,045 and 85,694

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Solution

The third proportional to 56,045 and 85,694 is: 131,027.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,045 : 85,694 = 85,694 : x
  2. Step 2: Convert to fraction form
    56,045/85,694 = 85,694/x
  3. Step 3: Cross multiply
    56,045x = 85,694 × 85,694
  4. Step 4: Simplify right side
    56,045x = 7,343,461,636
  5. Step 5: Solve for x
    x = 7,343,461,636/56,045
  6. Step 6: Final answer
    x = 131,027.95

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.