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Finding the Third Proportional to 56,266 and 117,729.50

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Solution

The third proportional to 56,266 and 117,729.50 is: 246,334.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,266 : 117,729.50 = 117,729.50 : x
  2. Step 2: Convert to fraction form
    56,266/117,729.50 = 117,729.50/x
  3. Step 3: Cross multiply
    56,266x = 117,729.50 × 117,729.50
  4. Step 4: Simplify right side
    56,266x = 13,860,235,170.25
  5. Step 5: Solve for x
    x = 13,860,235,170.25/56,266
  6. Step 6: Final answer
    x = 246,334.11

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.