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Finding the Third Proportional to 126,762 and 189,748

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Solution

The third proportional to 126,762 and 189,748 is: 284,030.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,762 : 189,748 = 189,748 : x
  2. Step 2: Convert to fraction form
    126,762/189,748 = 189,748/x
  3. Step 3: Cross multiply
    126,762x = 189,748 × 189,748
  4. Step 4: Simplify right side
    126,762x = 36,004,303,504
  5. Step 5: Solve for x
    x = 36,004,303,504/126,762
  6. Step 6: Final answer
    x = 284,030.73

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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.