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Finding the Third Proportional to 45,309 and 98,394

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Solution

The third proportional to 45,309 and 98,394 is: 213,674.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,309 : 98,394 = 98,394 : x
  2. Step 2: Convert to fraction form
    45,309/98,394 = 98,394/x
  3. Step 3: Cross multiply
    45,309x = 98,394 × 98,394
  4. Step 4: Simplify right side
    45,309x = 9,681,379,236
  5. Step 5: Solve for x
    x = 9,681,379,236/45,309
  6. Step 6: Final answer
    x = 213,674.53

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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.