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Finding the Third Proportional to 57,192 and 82,507

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Solution

The third proportional to 57,192 and 82,507 is: 119,027.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,192 : 82,507 = 82,507 : x
  2. Step 2: Convert to fraction form
    57,192/82,507 = 82,507/x
  3. Step 3: Cross multiply
    57,192x = 82,507 × 82,507
  4. Step 4: Simplify right side
    57,192x = 6,807,405,049
  5. Step 5: Solve for x
    x = 6,807,405,049/57,192
  6. Step 6: Final answer
    x = 119,027.22

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.