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Finding the Third Proportional to 74,472.75 and 141,405.75

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Solution

The third proportional to 74,472.75 and 141,405.75 is: 268,495.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,472.75 : 141,405.75 = 141,405.75 : x
  2. Step 2: Convert to fraction form
    74,472.75/141,405.75 = 141,405.75/x
  3. Step 3: Cross multiply
    74,472.75x = 141,405.75 × 141,405.75
  4. Step 4: Simplify right side
    74,472.75x = 19,995,586,133.06
  5. Step 5: Solve for x
    x = 19,995,586,133.06/74,472.75
  6. Step 6: Final answer
    x = 268,495.34

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These problems maintain the same ratio (1.90) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.