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Finding the Third Proportional to 72,788.06 and 154,324.13

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Solution

The third proportional to 72,788.06 and 154,324.13 is: 327,195.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,788.06 : 154,324.13 = 154,324.13 : x
  2. Step 2: Convert to fraction form
    72,788.06/154,324.13 = 154,324.13/x
  3. Step 3: Cross multiply
    72,788.06x = 154,324.13 × 154,324.13
  4. Step 4: Simplify right side
    72,788.06x = 23,815,935,557.02
  5. Step 5: Solve for x
    x = 23,815,935,557.02/72,788.06
  6. Step 6: Final answer
    x = 327,195.62

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.