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Finding the Third Proportional to 45,422 and 98,620

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Solution

The third proportional to 45,422 and 98,620 is: 214,123.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,422 : 98,620 = 98,620 : x
  2. Step 2: Convert to fraction form
    45,422/98,620 = 98,620/x
  3. Step 3: Cross multiply
    45,422x = 98,620 × 98,620
  4. Step 4: Simplify right side
    45,422x = 9,725,904,400
  5. Step 5: Solve for x
    x = 9,725,904,400/45,422
  6. Step 6: Final answer
    x = 214,123.21

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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.