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Finding the Third Proportional to 49,302 and 109,132

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Solution

The third proportional to 49,302 and 109,132 is: 241,568.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,302 : 109,132 = 109,132 : x
  2. Step 2: Convert to fraction form
    49,302/109,132 = 109,132/x
  3. Step 3: Cross multiply
    49,302x = 109,132 × 109,132
  4. Step 4: Simplify right side
    49,302x = 11,909,793,424
  5. Step 5: Solve for x
    x = 11,909,793,424/49,302
  6. Step 6: Final answer
    x = 241,568.16

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.