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Finding the Third Proportional to 45,398.25 and 96,972.75

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Solution

The third proportional to 45,398.25 and 96,972.75 is: 207,138.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,398.25 : 96,972.75 = 96,972.75 : x
  2. Step 2: Convert to fraction form
    45,398.25/96,972.75 = 96,972.75/x
  3. Step 3: Cross multiply
    45,398.25x = 96,972.75 × 96,972.75
  4. Step 4: Simplify right side
    45,398.25x = 9,403,714,242.56
  5. Step 5: Solve for x
    x = 9,403,714,242.56/45,398.25
  6. Step 6: Final answer
    x = 207,138.25

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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.