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Finding the Third Proportional to 83,971.69 and 123,479.44

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Solution

The third proportional to 83,971.69 and 123,479.44 is: 181,575.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,971.69 : 123,479.44 = 123,479.44 : x
  2. Step 2: Convert to fraction form
    83,971.69/123,479.44 = 123,479.44/x
  3. Step 3: Cross multiply
    83,971.69x = 123,479.44 × 123,479.44
  4. Step 4: Simplify right side
    83,971.69x = 15,247,171,485.32
  5. Step 5: Solve for x
    x = 15,247,171,485.32/83,971.69
  6. Step 6: Final answer
    x = 181,575.15

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.