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Finding the Third Proportional to 93,872 and 145,422

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Solution

The third proportional to 93,872 and 145,422 is: 225,280.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,872 : 145,422 = 145,422 : x
  2. Step 2: Convert to fraction form
    93,872/145,422 = 145,422/x
  3. Step 3: Cross multiply
    93,872x = 145,422 × 145,422
  4. Step 4: Simplify right side
    93,872x = 21,147,558,084
  5. Step 5: Solve for x
    x = 21,147,558,084/93,872
  6. Step 6: Final answer
    x = 225,280.79

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.