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Finding the Third Proportional to 47,740 and 103,688

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Solution

The third proportional to 47,740 and 103,688 is: 225,203.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,740 : 103,688 = 103,688 : x
  2. Step 2: Convert to fraction form
    47,740/103,688 = 103,688/x
  3. Step 3: Cross multiply
    47,740x = 103,688 × 103,688
  4. Step 4: Simplify right side
    47,740x = 10,751,201,344
  5. Step 5: Solve for x
    x = 10,751,201,344/47,740
  6. Step 6: Final answer
    x = 225,203.21

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.