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Finding the Third Proportional to 132,862 and 201,753.25

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Solution

The third proportional to 132,862 and 201,753.25 is: 306,365.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,862 : 201,753.25 = 201,753.25 : x
  2. Step 2: Convert to fraction form
    132,862/201,753.25 = 201,753.25/x
  3. Step 3: Cross multiply
    132,862x = 201,753.25 × 201,753.25
  4. Step 4: Simplify right side
    132,862x = 40,704,373,885.56
  5. Step 5: Solve for x
    x = 40,704,373,885.56/132,862
  6. Step 6: Final answer
    x = 306,365.81

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.