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Finding the Third Proportional to 132,993 and 194,535

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Solution

The third proportional to 132,993 and 194,535 is: 284,555.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,993 : 194,535 = 194,535 : x
  2. Step 2: Convert to fraction form
    132,993/194,535 = 194,535/x
  3. Step 3: Cross multiply
    132,993x = 194,535 × 194,535
  4. Step 4: Simplify right side
    132,993x = 37,843,866,225
  5. Step 5: Solve for x
    x = 37,843,866,225/132,993
  6. Step 6: Final answer
    x = 284,555.32

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.