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Finding the Third Proportional to 136,082.25 and 211,575

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Solution

The third proportional to 136,082.25 and 211,575 is: 328,947.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,082.25 : 211,575 = 211,575 : x
  2. Step 2: Convert to fraction form
    136,082.25/211,575 = 211,575/x
  3. Step 3: Cross multiply
    136,082.25x = 211,575 × 211,575
  4. Step 4: Simplify right side
    136,082.25x = 44,763,980,625
  5. Step 5: Solve for x
    x = 44,763,980,625/136,082.25
  6. Step 6: Final answer
    x = 328,947.98

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.