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Finding the Third Proportional to 73,345.50 and 154,575.84

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Solution

The third proportional to 73,345.50 and 154,575.84 is: 325,769.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,345.50 : 154,575.84 = 154,575.84 : x
  2. Step 2: Convert to fraction form
    73,345.50/154,575.84 = 154,575.84/x
  3. Step 3: Cross multiply
    73,345.50x = 154,575.84 × 154,575.84
  4. Step 4: Simplify right side
    73,345.50x = 23,893,691,471.02
  5. Step 5: Solve for x
    x = 23,893,691,471.02/73,345.50
  6. Step 6: Final answer
    x = 325,769.02

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.