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Finding the Third Proportional to 40,176 and 84,024

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Solution

The third proportional to 40,176 and 84,024 is: 175,727.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,176 : 84,024 = 84,024 : x
  2. Step 2: Convert to fraction form
    40,176/84,024 = 84,024/x
  3. Step 3: Cross multiply
    40,176x = 84,024 × 84,024
  4. Step 4: Simplify right side
    40,176x = 7,060,032,576
  5. Step 5: Solve for x
    x = 7,060,032,576/40,176
  6. Step 6: Final answer
    x = 175,727.61

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.