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Finding the Third Proportional to 75,261 and 158,964

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Solution

The third proportional to 75,261 and 158,964 is: 335,758.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,261 : 158,964 = 158,964 : x
  2. Step 2: Convert to fraction form
    75,261/158,964 = 158,964/x
  3. Step 3: Cross multiply
    75,261x = 158,964 × 158,964
  4. Step 4: Simplify right side
    75,261x = 25,269,553,296
  5. Step 5: Solve for x
    x = 25,269,553,296/75,261
  6. Step 6: Final answer
    x = 335,758.94

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.