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Finding the Third Proportional to 132,696 and 199,773

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Solution

The third proportional to 132,696 and 199,773 is: 300,757.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,696 : 199,773 = 199,773 : x
  2. Step 2: Convert to fraction form
    132,696/199,773 = 199,773/x
  3. Step 3: Cross multiply
    132,696x = 199,773 × 199,773
  4. Step 4: Simplify right side
    132,696x = 39,909,251,529
  5. Step 5: Solve for x
    x = 39,909,251,529/132,696
  6. Step 6: Final answer
    x = 300,757.00

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.