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Finding the Third Proportional to 74,287.13 and 154,729.13

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Solution

The third proportional to 74,287.13 and 154,729.13 is: 322,277.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,287.13 : 154,729.13 = 154,729.13 : x
  2. Step 2: Convert to fraction form
    74,287.13/154,729.13 = 154,729.13/x
  3. Step 3: Cross multiply
    74,287.13x = 154,729.13 × 154,729.13
  4. Step 4: Simplify right side
    74,287.13x = 23,941,102,123.27
  5. Step 5: Solve for x
    x = 23,941,102,123.27/74,287.13
  6. Step 6: Final answer
    x = 322,277.95

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.