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Finding the Third Proportional to 73,581 and 158,819

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Solution

The third proportional to 73,581 and 158,819 is: 342,798.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,581 : 158,819 = 158,819 : x
  2. Step 2: Convert to fraction form
    73,581/158,819 = 158,819/x
  3. Step 3: Cross multiply
    73,581x = 158,819 × 158,819
  4. Step 4: Simplify right side
    73,581x = 25,223,474,761
  5. Step 5: Solve for x
    x = 25,223,474,761/73,581
  6. Step 6: Final answer
    x = 342,798.75

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.