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Finding the Third Proportional to 44,756 and 98,260

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Solution

The third proportional to 44,756 and 98,260 is: 215,725.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,756 : 98,260 = 98,260 : x
  2. Step 2: Convert to fraction form
    44,756/98,260 = 98,260/x
  3. Step 3: Cross multiply
    44,756x = 98,260 × 98,260
  4. Step 4: Simplify right side
    44,756x = 9,655,027,600
  5. Step 5: Solve for x
    x = 9,655,027,600/44,756
  6. Step 6: Final answer
    x = 215,725.88

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.