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Finding the Third Proportional to 56,539.50 and 117,729.75

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Solution

The third proportional to 56,539.50 and 117,729.75 is: 245,143.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,539.50 : 117,729.75 = 117,729.75 : x
  2. Step 2: Convert to fraction form
    56,539.50/117,729.75 = 117,729.75/x
  3. Step 3: Cross multiply
    56,539.50x = 117,729.75 × 117,729.75
  4. Step 4: Simplify right side
    56,539.50x = 13,860,294,035.06
  5. Step 5: Solve for x
    x = 13,860,294,035.06/56,539.50
  6. Step 6: Final answer
    x = 245,143.56

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Why These Related Problems?

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