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Finding the Third Proportional to 131,775 and 282,137

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Solution

The third proportional to 131,775 and 282,137 is: 604,069.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,775 : 282,137 = 282,137 : x
  2. Step 2: Convert to fraction form
    131,775/282,137 = 282,137/x
  3. Step 3: Cross multiply
    131,775x = 282,137 × 282,137
  4. Step 4: Simplify right side
    131,775x = 79,601,286,769
  5. Step 5: Solve for x
    x = 79,601,286,769/131,775
  6. Step 6: Final answer
    x = 604,069.72

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.