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Finding the Third Proportional to 56,666 and 85,134

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Solution

The third proportional to 56,666 and 85,134 is: 127,903.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,666 : 85,134 = 85,134 : x
  2. Step 2: Convert to fraction form
    56,666/85,134 = 85,134/x
  3. Step 3: Cross multiply
    56,666x = 85,134 × 85,134
  4. Step 4: Simplify right side
    56,666x = 7,247,797,956
  5. Step 5: Solve for x
    x = 7,247,797,956/56,666
  6. Step 6: Final answer
    x = 127,903.82

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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.