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Finding the Third Proportional to 45,345 and 96,180

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Solution

The third proportional to 45,345 and 96,180 is: 204,004.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,345 : 96,180 = 96,180 : x
  2. Step 2: Convert to fraction form
    45,345/96,180 = 96,180/x
  3. Step 3: Cross multiply
    45,345x = 96,180 × 96,180
  4. Step 4: Simplify right side
    45,345x = 9,250,592,400
  5. Step 5: Solve for x
    x = 9,250,592,400/45,345
  6. Step 6: Final answer
    x = 204,004.68

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.