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Finding the Third Proportional to 72,405 and 154,935

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Solution

The third proportional to 72,405 and 154,935 is: 331,535.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,405 : 154,935 = 154,935 : x
  2. Step 2: Convert to fraction form
    72,405/154,935 = 154,935/x
  3. Step 3: Cross multiply
    72,405x = 154,935 × 154,935
  4. Step 4: Simplify right side
    72,405x = 24,004,854,225
  5. Step 5: Solve for x
    x = 24,004,854,225/72,405
  6. Step 6: Final answer
    x = 331,535.86

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.