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Finding the Third Proportional to 48,159 and 103,729.50

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Solution

The third proportional to 48,159 and 103,729.50 is: 223,422.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,159 : 103,729.50 = 103,729.50 : x
  2. Step 2: Convert to fraction form
    48,159/103,729.50 = 103,729.50/x
  3. Step 3: Cross multiply
    48,159x = 103,729.50 × 103,729.50
  4. Step 4: Simplify right side
    48,159x = 10,759,809,170.25
  5. Step 5: Solve for x
    x = 10,759,809,170.25/48,159
  6. Step 6: Final answer
    x = 223,422.60

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.