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Finding the Third Proportional to 68,777.81 and 145,021.13

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Solution

The third proportional to 68,777.81 and 145,021.13 is: 305,783.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,777.81 : 145,021.13 = 145,021.13 : x
  2. Step 2: Convert to fraction form
    68,777.81/145,021.13 = 145,021.13/x
  3. Step 3: Cross multiply
    68,777.81x = 145,021.13 × 145,021.13
  4. Step 4: Simplify right side
    68,777.81x = 21,031,126,696.27
  5. Step 5: Solve for x
    x = 21,031,126,696.27/68,777.81
  6. Step 6: Final answer
    x = 305,783.59

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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.