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Finding the Third Proportional to 107,877 and 168,855

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Solution

The third proportional to 107,877 and 168,855 is: 264,301.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,877 : 168,855 = 168,855 : x
  2. Step 2: Convert to fraction form
    107,877/168,855 = 168,855/x
  3. Step 3: Cross multiply
    107,877x = 168,855 × 168,855
  4. Step 4: Simplify right side
    107,877x = 28,512,011,025
  5. Step 5: Solve for x
    x = 28,512,011,025/107,877
  6. Step 6: Final answer
    x = 264,301.11

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.