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Finding the Third Proportional to 82,073 and 176,406.75

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Solution

The third proportional to 82,073 and 176,406.75 is: 379,166.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,073 : 176,406.75 = 176,406.75 : x
  2. Step 2: Convert to fraction form
    82,073/176,406.75 = 176,406.75/x
  3. Step 3: Cross multiply
    82,073x = 176,406.75 × 176,406.75
  4. Step 4: Simplify right side
    82,073x = 31,119,341,445.56
  5. Step 5: Solve for x
    x = 31,119,341,445.56/82,073
  6. Step 6: Final answer
    x = 379,166.61

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.