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Finding the Third Proportional to 58,857 and 125,793

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Solution

The third proportional to 58,857 and 125,793 is: 268,852.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,857 : 125,793 = 125,793 : x
  2. Step 2: Convert to fraction form
    58,857/125,793 = 125,793/x
  3. Step 3: Cross multiply
    58,857x = 125,793 × 125,793
  4. Step 4: Simplify right side
    58,857x = 15,823,878,849
  5. Step 5: Solve for x
    x = 15,823,878,849/58,857
  6. Step 6: Final answer
    x = 268,852.96

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.