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Finding the Third Proportional to 67,852 and 147,374

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Solution

The third proportional to 67,852 and 147,374 is: 320,095.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,852 : 147,374 = 147,374 : x
  2. Step 2: Convert to fraction form
    67,852/147,374 = 147,374/x
  3. Step 3: Cross multiply
    67,852x = 147,374 × 147,374
  4. Step 4: Simplify right side
    67,852x = 21,719,095,876
  5. Step 5: Solve for x
    x = 21,719,095,876/67,852
  6. Step 6: Final answer
    x = 320,095.15

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.