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Finding the Third Proportional to 132,786.75 and 205,606.13

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Solution

The third proportional to 132,786.75 and 205,606.13 is: 318,359.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,786.75 : 205,606.13 = 205,606.13 : x
  2. Step 2: Convert to fraction form
    132,786.75/205,606.13 = 205,606.13/x
  3. Step 3: Cross multiply
    132,786.75x = 205,606.13 × 205,606.13
  4. Step 4: Simplify right side
    132,786.75x = 42,273,878,637.52
  5. Step 5: Solve for x
    x = 42,273,878,637.52/132,786.75
  6. Step 6: Final answer
    x = 318,359.16

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.