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Finding the Third Proportional to 82,688.63 and 179,379

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Solution

The third proportional to 82,688.63 and 179,379 is: 389,132.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,688.63 : 179,379 = 179,379 : x
  2. Step 2: Convert to fraction form
    82,688.63/179,379 = 179,379/x
  3. Step 3: Cross multiply
    82,688.63x = 179,379 × 179,379
  4. Step 4: Simplify right side
    82,688.63x = 32,176,825,641
  5. Step 5: Solve for x
    x = 32,176,825,641/82,688.63
  6. Step 6: Final answer
    x = 389,132.43

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.