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Finding the Third Proportional to 64,539 and 138,966

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Solution

The third proportional to 64,539 and 138,966 is: 299,222.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,539 : 138,966 = 138,966 : x
  2. Step 2: Convert to fraction form
    64,539/138,966 = 138,966/x
  3. Step 3: Cross multiply
    64,539x = 138,966 × 138,966
  4. Step 4: Simplify right side
    64,539x = 19,311,549,156
  5. Step 5: Solve for x
    x = 19,311,549,156/64,539
  6. Step 6: Final answer
    x = 299,222.94

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.