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Finding the Third Proportional to 135,934.50 and 195,032

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Solution

The third proportional to 135,934.50 and 195,032 is: 279,822.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,934.50 : 195,032 = 195,032 : x
  2. Step 2: Convert to fraction form
    135,934.50/195,032 = 195,032/x
  3. Step 3: Cross multiply
    135,934.50x = 195,032 × 195,032
  4. Step 4: Simplify right side
    135,934.50x = 38,037,481,024
  5. Step 5: Solve for x
    x = 38,037,481,024/135,934.50
  6. Step 6: Final answer
    x = 279,822.13

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.