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Finding the Third Proportional to 67,539 and 146,971

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Solution

The third proportional to 67,539 and 146,971 is: 319,822.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,539 : 146,971 = 146,971 : x
  2. Step 2: Convert to fraction form
    67,539/146,971 = 146,971/x
  3. Step 3: Cross multiply
    67,539x = 146,971 × 146,971
  4. Step 4: Simplify right side
    67,539x = 21,600,474,841
  5. Step 5: Solve for x
    x = 21,600,474,841/67,539
  6. Step 6: Final answer
    x = 319,822.25

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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.