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Finding the Third Proportional to 45,508 and 98,743

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Solution

The third proportional to 45,508 and 98,743 is: 214,252.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,508 : 98,743 = 98,743 : x
  2. Step 2: Convert to fraction form
    45,508/98,743 = 98,743/x
  3. Step 3: Cross multiply
    45,508x = 98,743 × 98,743
  4. Step 4: Simplify right side
    45,508x = 9,750,180,049
  5. Step 5: Solve for x
    x = 9,750,180,049/45,508
  6. Step 6: Final answer
    x = 214,252.00

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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.