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Finding the Third Proportional to 93,966 and 145,593

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Solution

The third proportional to 93,966 and 145,593 is: 225,585.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,966 : 145,593 = 145,593 : x
  2. Step 2: Convert to fraction form
    93,966/145,593 = 145,593/x
  3. Step 3: Cross multiply
    93,966x = 145,593 × 145,593
  4. Step 4: Simplify right side
    93,966x = 21,197,321,649
  5. Step 5: Solve for x
    x = 21,197,321,649/93,966
  6. Step 6: Final answer
    x = 225,585.02

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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.