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Finding the Third Proportional to 86,828.06 and 133,701.94

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Solution

The third proportional to 86,828.06 and 133,701.94 is: 205,880.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,828.06 : 133,701.94 = 133,701.94 : x
  2. Step 2: Convert to fraction form
    86,828.06/133,701.94 = 133,701.94/x
  3. Step 3: Cross multiply
    86,828.06x = 133,701.94 × 133,701.94
  4. Step 4: Simplify right side
    86,828.06x = 17,876,208,091.25
  5. Step 5: Solve for x
    x = 17,876,208,091.25/86,828.06
  6. Step 6: Final answer
    x = 205,880.54

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.