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Finding the Third Proportional to 73,109.63 and 155,442.75

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Solution

The third proportional to 73,109.63 and 155,442.75 is: 330,496.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,109.63 : 155,442.75 = 155,442.75 : x
  2. Step 2: Convert to fraction form
    73,109.63/155,442.75 = 155,442.75/x
  3. Step 3: Cross multiply
    73,109.63x = 155,442.75 × 155,442.75
  4. Step 4: Simplify right side
    73,109.63x = 24,162,448,527.56
  5. Step 5: Solve for x
    x = 24,162,448,527.56/73,109.63
  6. Step 6: Final answer
    x = 330,496.14

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.