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Finding the Third Proportional to 56,846 and 86,062

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Solution

The third proportional to 56,846 and 86,062 is: 130,293.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,846 : 86,062 = 86,062 : x
  2. Step 2: Convert to fraction form
    56,846/86,062 = 86,062/x
  3. Step 3: Cross multiply
    56,846x = 86,062 × 86,062
  4. Step 4: Simplify right side
    56,846x = 7,406,667,844
  5. Step 5: Solve for x
    x = 7,406,667,844/56,846
  6. Step 6: Final answer
    x = 130,293.56

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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.