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Finding the Third Proportional to 57,372.05 and 86,108.06

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Solution

The third proportional to 57,372.05 and 86,108.06 is: 129,237.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,372.05 : 86,108.06 = 86,108.06 : x
  2. Step 2: Convert to fraction form
    57,372.05/86,108.06 = 86,108.06/x
  3. Step 3: Cross multiply
    57,372.05x = 86,108.06 × 86,108.06
  4. Step 4: Simplify right side
    57,372.05x = 7,414,598,427.50
  5. Step 5: Solve for x
    x = 7,414,598,427.50/57,372.05
  6. Step 6: Final answer
    x = 129,237.13

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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.