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Finding the Third Proportional to 96,839.72 and 129,881.81

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Solution

The third proportional to 96,839.72 and 129,881.81 is: 174,198.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,839.72 : 129,881.81 = 129,881.81 : x
  2. Step 2: Convert to fraction form
    96,839.72/129,881.81 = 129,881.81/x
  3. Step 3: Cross multiply
    96,839.72x = 129,881.81 × 129,881.81
  4. Step 4: Simplify right side
    96,839.72x = 16,869,285,218.29
  5. Step 5: Solve for x
    x = 16,869,285,218.29/96,839.72
  6. Step 6: Final answer
    x = 174,198.00

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.