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Finding the Third Proportional to 84,572.25 and 185,883.75

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Solution

The third proportional to 84,572.25 and 185,883.75 is: 408,559.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,572.25 : 185,883.75 = 185,883.75 : x
  2. Step 2: Convert to fraction form
    84,572.25/185,883.75 = 185,883.75/x
  3. Step 3: Cross multiply
    84,572.25x = 185,883.75 × 185,883.75
  4. Step 4: Simplify right side
    84,572.25x = 34,552,768,514.06
  5. Step 5: Solve for x
    x = 34,552,768,514.06/84,572.25
  6. Step 6: Final answer
    x = 408,559.17

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.