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Finding the Third Proportional to 56,760 and 85,928

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Solution

The third proportional to 56,760 and 85,928 is: 130,084.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,760 : 85,928 = 85,928 : x
  2. Step 2: Convert to fraction form
    56,760/85,928 = 85,928/x
  3. Step 3: Cross multiply
    56,760x = 85,928 × 85,928
  4. Step 4: Simplify right side
    56,760x = 7,383,621,184
  5. Step 5: Solve for x
    x = 7,383,621,184/56,760
  6. Step 6: Final answer
    x = 130,084.94

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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.