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Finding the Third Proportional to 82,440 and 119,088

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Solution

The third proportional to 82,440 and 119,088 is: 172,027.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,440 : 119,088 = 119,088 : x
  2. Step 2: Convert to fraction form
    82,440/119,088 = 119,088/x
  3. Step 3: Cross multiply
    82,440x = 119,088 × 119,088
  4. Step 4: Simplify right side
    82,440x = 14,181,951,744
  5. Step 5: Solve for x
    x = 14,181,951,744/82,440
  6. Step 6: Final answer
    x = 172,027.56

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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.