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Finding the Third Proportional to 79,828.50 and 129,781.50

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Solution

The third proportional to 79,828.50 and 129,781.50 is: 210,992.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,828.50 : 129,781.50 = 129,781.50 : x
  2. Step 2: Convert to fraction form
    79,828.50/129,781.50 = 129,781.50/x
  3. Step 3: Cross multiply
    79,828.50x = 129,781.50 × 129,781.50
  4. Step 4: Simplify right side
    79,828.50x = 16,843,237,742.25
  5. Step 5: Solve for x
    x = 16,843,237,742.25/79,828.50
  6. Step 6: Final answer
    x = 210,992.79

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.