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Finding the Third Proportional to 107,938 and 160,797

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Solution

The third proportional to 107,938 and 160,797 is: 239,541.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,938 : 160,797 = 160,797 : x
  2. Step 2: Convert to fraction form
    107,938/160,797 = 160,797/x
  3. Step 3: Cross multiply
    107,938x = 160,797 × 160,797
  4. Step 4: Simplify right side
    107,938x = 25,855,675,209
  5. Step 5: Solve for x
    x = 25,855,675,209/107,938
  6. Step 6: Final answer
    x = 239,541.91

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.