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Finding the Third Proportional to 82,329.19 and 171,118.13

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Solution

The third proportional to 82,329.19 and 171,118.13 is: 355,662.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,329.19 : 171,118.13 = 171,118.13 : x
  2. Step 2: Convert to fraction form
    82,329.19/171,118.13 = 171,118.13/x
  3. Step 3: Cross multiply
    82,329.19x = 171,118.13 × 171,118.13
  4. Step 4: Simplify right side
    82,329.19x = 29,281,412,703.52
  5. Step 5: Solve for x
    x = 29,281,412,703.52/82,329.19
  6. Step 6: Final answer
    x = 355,662.60

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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.