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Finding the Third Proportional to 126,268 and 191,528

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Solution

The third proportional to 126,268 and 191,528 is: 290,516.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,268 : 191,528 = 191,528 : x
  2. Step 2: Convert to fraction form
    126,268/191,528 = 191,528/x
  3. Step 3: Cross multiply
    126,268x = 191,528 × 191,528
  4. Step 4: Simplify right side
    126,268x = 36,682,974,784
  5. Step 5: Solve for x
    x = 36,682,974,784/126,268
  6. Step 6: Final answer
    x = 290,516.80

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.