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Finding the Third Proportional to 135,111 and 202,740

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Solution

The third proportional to 135,111 and 202,740 is: 304,220.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,111 : 202,740 = 202,740 : x
  2. Step 2: Convert to fraction form
    135,111/202,740 = 202,740/x
  3. Step 3: Cross multiply
    135,111x = 202,740 × 202,740
  4. Step 4: Simplify right side
    135,111x = 41,103,507,600
  5. Step 5: Solve for x
    x = 41,103,507,600/135,111
  6. Step 6: Final answer
    x = 304,220.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.