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Finding the Third Proportional to 57,046.50 and 117,729

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Solution

The third proportional to 57,046.50 and 117,729 is: 242,961.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,046.50 : 117,729 = 117,729 : x
  2. Step 2: Convert to fraction form
    57,046.50/117,729 = 117,729/x
  3. Step 3: Cross multiply
    57,046.50x = 117,729 × 117,729
  4. Step 4: Simplify right side
    57,046.50x = 13,860,117,441
  5. Step 5: Solve for x
    x = 13,860,117,441/57,046.50
  6. Step 6: Final answer
    x = 242,961.75

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.