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Finding the Third Proportional to 75,929 and 164,971

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Solution

The third proportional to 75,929 and 164,971 is: 358,432.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,929 : 164,971 = 164,971 : x
  2. Step 2: Convert to fraction form
    75,929/164,971 = 164,971/x
  3. Step 3: Cross multiply
    75,929x = 164,971 × 164,971
  4. Step 4: Simplify right side
    75,929x = 27,215,430,841
  5. Step 5: Solve for x
    x = 27,215,430,841/75,929
  6. Step 6: Final answer
    x = 358,432.63

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.