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Finding the Third Proportional to 132,635 and 195,037

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Solution

The third proportional to 132,635 and 195,037 is: 286,797.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,635 : 195,037 = 195,037 : x
  2. Step 2: Convert to fraction form
    132,635/195,037 = 195,037/x
  3. Step 3: Cross multiply
    132,635x = 195,037 × 195,037
  4. Step 4: Simplify right side
    132,635x = 38,039,431,369
  5. Step 5: Solve for x
    x = 38,039,431,369/132,635
  6. Step 6: Final answer
    x = 286,797.84

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.