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Finding the Third Proportional to 65,936 and 138,352

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Solution

The third proportional to 65,936 and 138,352 is: 290,300.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,936 : 138,352 = 138,352 : x
  2. Step 2: Convert to fraction form
    65,936/138,352 = 138,352/x
  3. Step 3: Cross multiply
    65,936x = 138,352 × 138,352
  4. Step 4: Simplify right side
    65,936x = 19,141,275,904
  5. Step 5: Solve for x
    x = 19,141,275,904/65,936
  6. Step 6: Final answer
    x = 290,300.84

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.