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Finding the Third Proportional to 56,745 and 85,907

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Solution

The third proportional to 56,745 and 85,907 is: 130,055.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,745 : 85,907 = 85,907 : x
  2. Step 2: Convert to fraction form
    56,745/85,907 = 85,907/x
  3. Step 3: Cross multiply
    56,745x = 85,907 × 85,907
  4. Step 4: Simplify right side
    56,745x = 7,380,012,649
  5. Step 5: Solve for x
    x = 7,380,012,649/56,745
  6. Step 6: Final answer
    x = 130,055.73

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.