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Finding the Third Proportional to 134,127 and 279,273

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Solution

The third proportional to 134,127 and 279,273 is: 581,489.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,127 : 279,273 = 279,273 : x
  2. Step 2: Convert to fraction form
    134,127/279,273 = 279,273/x
  3. Step 3: Cross multiply
    134,127x = 279,273 × 279,273
  4. Step 4: Simplify right side
    134,127x = 77,993,408,529
  5. Step 5: Solve for x
    x = 77,993,408,529/134,127
  6. Step 6: Final answer
    x = 581,489.25

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.