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Finding the Third Proportional to 82,004 and 170,972

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Solution

The third proportional to 82,004 and 170,972 is: 356,463.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,004 : 170,972 = 170,972 : x
  2. Step 2: Convert to fraction form
    82,004/170,972 = 170,972/x
  3. Step 3: Cross multiply
    82,004x = 170,972 × 170,972
  4. Step 4: Simplify right side
    82,004x = 29,231,424,784
  5. Step 5: Solve for x
    x = 29,231,424,784/82,004
  6. Step 6: Final answer
    x = 356,463.40

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.