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Finding the Third Proportional to 93,958 and 125,257

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Solution

The third proportional to 93,958 and 125,257 is: 166,982.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,958 : 125,257 = 125,257 : x
  2. Step 2: Convert to fraction form
    93,958/125,257 = 125,257/x
  3. Step 3: Cross multiply
    93,958x = 125,257 × 125,257
  4. Step 4: Simplify right side
    93,958x = 15,689,316,049
  5. Step 5: Solve for x
    x = 15,689,316,049/93,958
  6. Step 6: Final answer
    x = 166,982.23

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.