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Finding the Third Proportional to 45,009 and 96,943

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Solution

The third proportional to 45,009 and 96,943 is: 208,801.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,009 : 96,943 = 96,943 : x
  2. Step 2: Convert to fraction form
    45,009/96,943 = 96,943/x
  3. Step 3: Cross multiply
    45,009x = 96,943 × 96,943
  4. Step 4: Simplify right side
    45,009x = 9,397,945,249
  5. Step 5: Solve for x
    x = 9,397,945,249/45,009
  6. Step 6: Final answer
    x = 208,801.47

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.