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Finding the Third Proportional to 55,692 and 131,423

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Solution

The third proportional to 55,692 and 131,423 is: 310,134.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,692 : 131,423 = 131,423 : x
  2. Step 2: Convert to fraction form
    55,692/131,423 = 131,423/x
  3. Step 3: Cross multiply
    55,692x = 131,423 × 131,423
  4. Step 4: Simplify right side
    55,692x = 17,272,004,929
  5. Step 5: Solve for x
    x = 17,272,004,929/55,692
  6. Step 6: Final answer
    x = 310,134.40

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.