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Finding the Third Proportional to 57,273 and 86,018

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Solution

The third proportional to 57,273 and 86,018 is: 129,189.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,273 : 86,018 = 86,018 : x
  2. Step 2: Convert to fraction form
    57,273/86,018 = 86,018/x
  3. Step 3: Cross multiply
    57,273x = 86,018 × 86,018
  4. Step 4: Simplify right side
    57,273x = 7,399,096,324
  5. Step 5: Solve for x
    x = 7,399,096,324/57,273
  6. Step 6: Final answer
    x = 129,189.96

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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.