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Finding the Third Proportional to 80,592 and 189,572

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Solution

The third proportional to 80,592 and 189,572 is: 445,919.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,592 : 189,572 = 189,572 : x
  2. Step 2: Convert to fraction form
    80,592/189,572 = 189,572/x
  3. Step 3: Cross multiply
    80,592x = 189,572 × 189,572
  4. Step 4: Simplify right side
    80,592x = 35,937,543,184
  5. Step 5: Solve for x
    x = 35,937,543,184/80,592
  6. Step 6: Final answer
    x = 445,919.49

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.