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Finding the Third Proportional to 72,954.56 and 133,921.13

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Solution

The third proportional to 72,954.56 and 133,921.13 is: 245,836.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,954.56 : 133,921.13 = 133,921.13 : x
  2. Step 2: Convert to fraction form
    72,954.56/133,921.13 = 133,921.13/x
  3. Step 3: Cross multiply
    72,954.56x = 133,921.13 × 133,921.13
  4. Step 4: Simplify right side
    72,954.56x = 17,934,867,721.27
  5. Step 5: Solve for x
    x = 17,934,867,721.27/72,954.56
  6. Step 6: Final answer
    x = 245,836.14

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Why These Related Problems?

These problems maintain the same ratio (1.84) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.