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Finding the Third Proportional to 67,132 and 141,168

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Solution

The third proportional to 67,132 and 141,168 is: 296,854.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,132 : 141,168 = 141,168 : x
  2. Step 2: Convert to fraction form
    67,132/141,168 = 141,168/x
  3. Step 3: Cross multiply
    67,132x = 141,168 × 141,168
  4. Step 4: Simplify right side
    67,132x = 19,928,404,224
  5. Step 5: Solve for x
    x = 19,928,404,224/67,132
  6. Step 6: Final answer
    x = 296,854.02

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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.