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Finding the Third Proportional to 45,795 and 96,510

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Solution

The third proportional to 45,795 and 96,510 is: 203,388.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,795 : 96,510 = 96,510 : x
  2. Step 2: Convert to fraction form
    45,795/96,510 = 96,510/x
  3. Step 3: Cross multiply
    45,795x = 96,510 × 96,510
  4. Step 4: Simplify right side
    45,795x = 9,314,180,100
  5. Step 5: Solve for x
    x = 9,314,180,100/45,795
  6. Step 6: Final answer
    x = 203,388.58

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.