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Finding the Third Proportional to 120,964 and 252,944

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Solution

The third proportional to 120,964 and 252,944 is: 528,923.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,964 : 252,944 = 252,944 : x
  2. Step 2: Convert to fraction form
    120,964/252,944 = 252,944/x
  3. Step 3: Cross multiply
    120,964x = 252,944 × 252,944
  4. Step 4: Simplify right side
    120,964x = 63,980,667,136
  5. Step 5: Solve for x
    x = 63,980,667,136/120,964
  6. Step 6: Final answer
    x = 528,923.21

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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.