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Finding the Third Proportional to 50,019 and 109,332

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Solution

The third proportional to 50,019 and 109,332 is: 238,978.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,019 : 109,332 = 109,332 : x
  2. Step 2: Convert to fraction form
    50,019/109,332 = 109,332/x
  3. Step 3: Cross multiply
    50,019x = 109,332 × 109,332
  4. Step 4: Simplify right side
    50,019x = 11,953,486,224
  5. Step 5: Solve for x
    x = 11,953,486,224/50,019
  6. Step 6: Final answer
    x = 238,978.91

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.