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Finding the Third Proportional to 67,966.88 and 146,867.63

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Solution

The third proportional to 67,966.88 and 146,867.63 is: 317,361.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,966.88 : 146,867.63 = 146,867.63 : x
  2. Step 2: Convert to fraction form
    67,966.88/146,867.63 = 146,867.63/x
  3. Step 3: Cross multiply
    67,966.88x = 146,867.63 × 146,867.63
  4. Step 4: Simplify right side
    67,966.88x = 21,570,099,273.14
  5. Step 5: Solve for x
    x = 21,570,099,273.14/67,966.88
  6. Step 6: Final answer
    x = 317,361.94

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.