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Finding the Third Proportional to 45,593.75 and 68,208.13

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Solution

The third proportional to 45,593.75 and 68,208.13 is: 102,039.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,593.75 : 68,208.13 = 68,208.13 : x
  2. Step 2: Convert to fraction form
    45,593.75/68,208.13 = 68,208.13/x
  3. Step 3: Cross multiply
    45,593.75x = 68,208.13 × 68,208.13
  4. Step 4: Simplify right side
    45,593.75x = 4,652,348,316.02
  5. Step 5: Solve for x
    x = 4,652,348,316.02/45,593.75
  6. Step 6: Final answer
    x = 102,039.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.