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Finding the Third Proportional to 142,006 and 213,373

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Solution

The third proportional to 142,006 and 213,373 is: 320,606.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,006 : 213,373 = 213,373 : x
  2. Step 2: Convert to fraction form
    142,006/213,373 = 213,373/x
  3. Step 3: Cross multiply
    142,006x = 213,373 × 213,373
  4. Step 4: Simplify right side
    142,006x = 45,528,037,129
  5. Step 5: Solve for x
    x = 45,528,037,129/142,006
  6. Step 6: Final answer
    x = 320,606.43

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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.