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Finding the Third Proportional to 45,353 and 98,734

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Solution

The third proportional to 45,353 and 98,734 is: 214,945.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,353 : 98,734 = 98,734 : x
  2. Step 2: Convert to fraction form
    45,353/98,734 = 98,734/x
  3. Step 3: Cross multiply
    45,353x = 98,734 × 98,734
  4. Step 4: Simplify right side
    45,353x = 9,748,402,756
  5. Step 5: Solve for x
    x = 9,748,402,756/45,353
  6. Step 6: Final answer
    x = 214,945.05

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.