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Finding the Third Proportional to 50,932 and 120,426

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Solution

The third proportional to 50,932 and 120,426 is: 284,740.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,932 : 120,426 = 120,426 : x
  2. Step 2: Convert to fraction form
    50,932/120,426 = 120,426/x
  3. Step 3: Cross multiply
    50,932x = 120,426 × 120,426
  4. Step 4: Simplify right side
    50,932x = 14,502,421,476
  5. Step 5: Solve for x
    x = 14,502,421,476/50,932
  6. Step 6: Final answer
    x = 284,740.86

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.