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Finding the Third Proportional to 90,711 and 143,025

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Solution

The third proportional to 90,711 and 143,025 is: 225,509.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,711 : 143,025 = 143,025 : x
  2. Step 2: Convert to fraction form
    90,711/143,025 = 143,025/x
  3. Step 3: Cross multiply
    90,711x = 143,025 × 143,025
  4. Step 4: Simplify right side
    90,711x = 20,456,150,625
  5. Step 5: Solve for x
    x = 20,456,150,625/90,711
  6. Step 6: Final answer
    x = 225,509.04

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.