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Finding the Third Proportional to 45,997.50 and 68,510.25

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Solution

The third proportional to 45,997.50 and 68,510.25 is: 102,041.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,997.50 : 68,510.25 = 68,510.25 : x
  2. Step 2: Convert to fraction form
    45,997.50/68,510.25 = 68,510.25/x
  3. Step 3: Cross multiply
    45,997.50x = 68,510.25 × 68,510.25
  4. Step 4: Simplify right side
    45,997.50x = 4,693,654,355.06
  5. Step 5: Solve for x
    x = 4,693,654,355.06/45,997.50
  6. Step 6: Final answer
    x = 102,041.51

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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.