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Finding the Third Proportional to 126,528 and 189,504

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Solution

The third proportional to 126,528 and 189,504 is: 283,824.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,528 : 189,504 = 189,504 : x
  2. Step 2: Convert to fraction form
    126,528/189,504 = 189,504/x
  3. Step 3: Cross multiply
    126,528x = 189,504 × 189,504
  4. Step 4: Simplify right side
    126,528x = 35,911,766,016
  5. Step 5: Solve for x
    x = 35,911,766,016/126,528
  6. Step 6: Final answer
    x = 283,824.66

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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.