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Finding the Third Proportional to 56,566.50 and 117,728.25

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Solution

The third proportional to 56,566.50 and 117,728.25 is: 245,020.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,566.50 : 117,728.25 = 117,728.25 : x
  2. Step 2: Convert to fraction form
    56,566.50/117,728.25 = 117,728.25/x
  3. Step 3: Cross multiply
    56,566.50x = 117,728.25 × 117,728.25
  4. Step 4: Simplify right side
    56,566.50x = 13,859,940,848.06
  5. Step 5: Solve for x
    x = 13,859,940,848.06/56,566.50
  6. Step 6: Final answer
    x = 245,020.30

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.