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Finding the Third Proportional to 59,135 and 131,392

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Solution

The third proportional to 59,135 and 131,392 is: 291,939.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,135 : 131,392 = 131,392 : x
  2. Step 2: Convert to fraction form
    59,135/131,392 = 131,392/x
  3. Step 3: Cross multiply
    59,135x = 131,392 × 131,392
  4. Step 4: Simplify right side
    59,135x = 17,263,857,664
  5. Step 5: Solve for x
    x = 17,263,857,664/59,135
  6. Step 6: Final answer
    x = 291,939.76

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.