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Finding the Third Proportional to 45,272.25 and 96,392

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Solution

The third proportional to 45,272.25 and 96,392 is: 205,234.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,272.25 : 96,392 = 96,392 : x
  2. Step 2: Convert to fraction form
    45,272.25/96,392 = 96,392/x
  3. Step 3: Cross multiply
    45,272.25x = 96,392 × 96,392
  4. Step 4: Simplify right side
    45,272.25x = 9,291,417,664
  5. Step 5: Solve for x
    x = 9,291,417,664/45,272.25
  6. Step 6: Final answer
    x = 205,234.28

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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.