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Finding the Third Proportional to 82,876.08 and 180,932.48

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Solution

The third proportional to 82,876.08 and 180,932.48 is: 395,006.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,876.08 : 180,932.48 = 180,932.48 : x
  2. Step 2: Convert to fraction form
    82,876.08/180,932.48 = 180,932.48/x
  3. Step 3: Cross multiply
    82,876.08x = 180,932.48 × 180,932.48
  4. Step 4: Simplify right side
    82,876.08x = 32,736,563,902.11
  5. Step 5: Solve for x
    x = 32,736,563,902.11/82,876.08
  6. Step 6: Final answer
    x = 395,006.19

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.