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Finding the Third Proportional to 58,173 and 125,632

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Solution

The third proportional to 58,173 and 125,632 is: 271,318.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,173 : 125,632 = 125,632 : x
  2. Step 2: Convert to fraction form
    58,173/125,632 = 125,632/x
  3. Step 3: Cross multiply
    58,173x = 125,632 × 125,632
  4. Step 4: Simplify right side
    58,173x = 15,783,399,424
  5. Step 5: Solve for x
    x = 15,783,399,424/58,173
  6. Step 6: Final answer
    x = 271,318.30

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.