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Finding the Third Proportional to 82,594.69 and 158,625.84

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Solution

The third proportional to 82,594.69 and 158,625.84 is: 304,646.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,594.69 : 158,625.84 = 158,625.84 : x
  2. Step 2: Convert to fraction form
    82,594.69/158,625.84 = 158,625.84/x
  3. Step 3: Cross multiply
    82,594.69x = 158,625.84 × 158,625.84
  4. Step 4: Simplify right side
    82,594.69x = 25,162,158,305.40
  5. Step 5: Solve for x
    x = 25,162,158,305.40/82,594.69
  6. Step 6: Final answer
    x = 304,646.21

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Why These Related Problems?

These problems maintain the same ratio (1.92) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.