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Finding the Third Proportional to 126,526 and 189,438

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Solution

The third proportional to 126,526 and 189,438 is: 283,631.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,526 : 189,438 = 189,438 : x
  2. Step 2: Convert to fraction form
    126,526/189,438 = 189,438/x
  3. Step 3: Cross multiply
    126,526x = 189,438 × 189,438
  4. Step 4: Simplify right side
    126,526x = 35,886,755,844
  5. Step 5: Solve for x
    x = 35,886,755,844/126,526
  6. Step 6: Final answer
    x = 283,631.47

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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.