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Finding the Third Proportional to 120,574 and 252,164

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Solution

The third proportional to 120,574 and 252,164 is: 527,366.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,574 : 252,164 = 252,164 : x
  2. Step 2: Convert to fraction form
    120,574/252,164 = 252,164/x
  3. Step 3: Cross multiply
    120,574x = 252,164 × 252,164
  4. Step 4: Simplify right side
    120,574x = 63,586,682,896
  5. Step 5: Solve for x
    x = 63,586,682,896/120,574
  6. Step 6: Final answer
    x = 527,366.45

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.