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Finding the Third Proportional to 45,448 and 97,372

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Solution

The third proportional to 45,448 and 97,372 is: 208,618.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,448 : 97,372 = 97,372 : x
  2. Step 2: Convert to fraction form
    45,448/97,372 = 97,372/x
  3. Step 3: Cross multiply
    45,448x = 97,372 × 97,372
  4. Step 4: Simplify right side
    45,448x = 9,481,306,384
  5. Step 5: Solve for x
    x = 9,481,306,384/45,448
  6. Step 6: Final answer
    x = 208,618.78

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.