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Finding the Third Proportional to 49,018 and 107,371

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Solution

The third proportional to 49,018 and 107,371 is: 235,189.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,018 : 107,371 = 107,371 : x
  2. Step 2: Convert to fraction form
    49,018/107,371 = 107,371/x
  3. Step 3: Cross multiply
    49,018x = 107,371 × 107,371
  4. Step 4: Simplify right side
    49,018x = 11,528,531,641
  5. Step 5: Solve for x
    x = 11,528,531,641/49,018
  6. Step 6: Final answer
    x = 235,189.76

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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.