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Finding the Third Proportional to 120,665.38 and 182,554.88

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Solution

The third proportional to 120,665.38 and 182,554.88 is: 276,187.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,665.38 : 182,554.88 = 182,554.88 : x
  2. Step 2: Convert to fraction form
    120,665.38/182,554.88 = 182,554.88/x
  3. Step 3: Cross multiply
    120,665.38x = 182,554.88 × 182,554.88
  4. Step 4: Simplify right side
    120,665.38x = 33,326,282,386.27
  5. Step 5: Solve for x
    x = 33,326,282,386.27/120,665.38
  6. Step 6: Final answer
    x = 276,187.62

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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.