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Finding the Third Proportional to 86,447.25 and 133,504.88

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Solution

The third proportional to 86,447.25 and 133,504.88 is: 206,178.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,447.25 : 133,504.88 = 133,504.88 : x
  2. Step 2: Convert to fraction form
    86,447.25/133,504.88 = 133,504.88/x
  3. Step 3: Cross multiply
    86,447.25x = 133,504.88 × 133,504.88
  4. Step 4: Simplify right side
    86,447.25x = 17,823,551,648.77
  5. Step 5: Solve for x
    x = 17,823,551,648.77/86,447.25
  6. Step 6: Final answer
    x = 206,178.35

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