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Finding the Third Proportional to 45,968 and 71,463

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Solution

The third proportional to 45,968 and 71,463 is: 111,098.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,968 : 71,463 = 71,463 : x
  2. Step 2: Convert to fraction form
    45,968/71,463 = 71,463/x
  3. Step 3: Cross multiply
    45,968x = 71,463 × 71,463
  4. Step 4: Simplify right side
    45,968x = 5,106,960,369
  5. Step 5: Solve for x
    x = 5,106,960,369/45,968
  6. Step 6: Final answer
    x = 111,098.16

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.