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Finding the Third Proportional to 132,090.75 and 204,616.13

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Solution

The third proportional to 132,090.75 and 204,616.13 is: 316,962.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,090.75 : 204,616.13 = 204,616.13 : x
  2. Step 2: Convert to fraction form
    132,090.75/204,616.13 = 204,616.13/x
  3. Step 3: Cross multiply
    132,090.75x = 204,616.13 × 204,616.13
  4. Step 4: Simplify right side
    132,090.75x = 41,867,758,610.02
  5. Step 5: Solve for x
    x = 41,867,758,610.02/132,090.75
  6. Step 6: Final answer
    x = 316,962.08

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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.