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Finding the Third Proportional to 61,992.84 and 129,349.41

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Solution

The third proportional to 61,992.84 and 129,349.41 is: 269,890.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,992.84 : 129,349.41 = 129,349.41 : x
  2. Step 2: Convert to fraction form
    61,992.84/129,349.41 = 129,349.41/x
  3. Step 3: Cross multiply
    61,992.84x = 129,349.41 × 129,349.41
  4. Step 4: Simplify right side
    61,992.84x = 16,731,268,897.23
  5. Step 5: Solve for x
    x = 16,731,268,897.23/61,992.84
  6. Step 6: Final answer
    x = 269,890.33

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.