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Finding the Third Proportional to 45,453 and 96,739

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Solution

The third proportional to 45,453 and 96,739 is: 205,892.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,453 : 96,739 = 96,739 : x
  2. Step 2: Convert to fraction form
    45,453/96,739 = 96,739/x
  3. Step 3: Cross multiply
    45,453x = 96,739 × 96,739
  4. Step 4: Simplify right side
    45,453x = 9,358,434,121
  5. Step 5: Solve for x
    x = 9,358,434,121/45,453
  6. Step 6: Final answer
    x = 205,892.55

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.