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Finding the Third Proportional to 134,164 and 276,964

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Solution

The third proportional to 134,164 and 276,964 is: 571,755.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,164 : 276,964 = 276,964 : x
  2. Step 2: Convert to fraction form
    134,164/276,964 = 276,964/x
  3. Step 3: Cross multiply
    134,164x = 276,964 × 276,964
  4. Step 4: Simplify right side
    134,164x = 76,709,057,296
  5. Step 5: Solve for x
    x = 76,709,057,296/134,164
  6. Step 6: Final answer
    x = 571,755.89

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.