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Finding the Third Proportional to 45,822 and 68,301

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Solution

The third proportional to 45,822 and 68,301 is: 101,807.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,822 : 68,301 = 68,301 : x
  2. Step 2: Convert to fraction form
    45,822/68,301 = 68,301/x
  3. Step 3: Cross multiply
    45,822x = 68,301 × 68,301
  4. Step 4: Simplify right side
    45,822x = 4,665,026,601
  5. Step 5: Solve for x
    x = 4,665,026,601/45,822
  6. Step 6: Final answer
    x = 101,807.57

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.