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Finding the Third Proportional to 49,359 and 108,321

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Solution

The third proportional to 49,359 and 108,321 is: 237,716.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,359 : 108,321 = 108,321 : x
  2. Step 2: Convert to fraction form
    49,359/108,321 = 108,321/x
  3. Step 3: Cross multiply
    49,359x = 108,321 × 108,321
  4. Step 4: Simplify right side
    49,359x = 11,733,439,041
  5. Step 5: Solve for x
    x = 11,733,439,041/49,359
  6. Step 6: Final answer
    x = 237,716.30

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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.