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Finding the Third Proportional to 142,861 and 213,591

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Solution

The third proportional to 142,861 and 213,591 is: 319,339.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,861 : 213,591 = 213,591 : x
  2. Step 2: Convert to fraction form
    142,861/213,591 = 213,591/x
  3. Step 3: Cross multiply
    142,861x = 213,591 × 213,591
  4. Step 4: Simplify right side
    142,861x = 45,621,115,281
  5. Step 5: Solve for x
    x = 45,621,115,281/142,861
  6. Step 6: Final answer
    x = 319,339.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.