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Finding the Third Proportional to 45,414 and 98,604

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Solution

The third proportional to 45,414 and 98,604 is: 214,091.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,414 : 98,604 = 98,604 : x
  2. Step 2: Convert to fraction form
    45,414/98,604 = 98,604/x
  3. Step 3: Cross multiply
    45,414x = 98,604 × 98,604
  4. Step 4: Simplify right side
    45,414x = 9,722,748,816
  5. Step 5: Solve for x
    x = 9,722,748,816/45,414
  6. Step 6: Final answer
    x = 214,091.44

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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.