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Finding the Third Proportional to 75,080 and 164,011

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Solution

The third proportional to 75,080 and 164,011 is: 358,279.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,080 : 164,011 = 164,011 : x
  2. Step 2: Convert to fraction form
    75,080/164,011 = 164,011/x
  3. Step 3: Cross multiply
    75,080x = 164,011 × 164,011
  4. Step 4: Simplify right side
    75,080x = 26,899,608,121
  5. Step 5: Solve for x
    x = 26,899,608,121/75,080
  6. Step 6: Final answer
    x = 358,279.28

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.