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Finding the Third Proportional to 59,996 and 128,293

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Solution

The third proportional to 59,996 and 128,293 is: 274,336.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,996 : 128,293 = 128,293 : x
  2. Step 2: Convert to fraction form
    59,996/128,293 = 128,293/x
  3. Step 3: Cross multiply
    59,996x = 128,293 × 128,293
  4. Step 4: Simplify right side
    59,996x = 16,459,093,849
  5. Step 5: Solve for x
    x = 16,459,093,849/59,996
  6. Step 6: Final answer
    x = 274,336.52

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.