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Finding the Third Proportional to 45,368 and 96,544

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Solution

The third proportional to 45,368 and 96,544 is: 205,447.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,368 : 96,544 = 96,544 : x
  2. Step 2: Convert to fraction form
    45,368/96,544 = 96,544/x
  3. Step 3: Cross multiply
    45,368x = 96,544 × 96,544
  4. Step 4: Simplify right side
    45,368x = 9,320,743,936
  5. Step 5: Solve for x
    x = 9,320,743,936/45,368
  6. Step 6: Final answer
    x = 205,447.54

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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.