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Finding the Third Proportional to 72,709.50 and 155,787

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Solution

The third proportional to 72,709.50 and 155,787 is: 333,788.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,709.50 : 155,787 = 155,787 : x
  2. Step 2: Convert to fraction form
    72,709.50/155,787 = 155,787/x
  3. Step 3: Cross multiply
    72,709.50x = 155,787 × 155,787
  4. Step 4: Simplify right side
    72,709.50x = 24,269,589,369
  5. Step 5: Solve for x
    x = 24,269,589,369/72,709.50
  6. Step 6: Final answer
    x = 333,788.42

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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.