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Finding the Third Proportional to 58,560 and 125,997

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Solution

The third proportional to 58,560 and 125,997 is: 271,093.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,560 : 125,997 = 125,997 : x
  2. Step 2: Convert to fraction form
    58,560/125,997 = 125,997/x
  3. Step 3: Cross multiply
    58,560x = 125,997 × 125,997
  4. Step 4: Simplify right side
    58,560x = 15,875,244,009
  5. Step 5: Solve for x
    x = 15,875,244,009/58,560
  6. Step 6: Final answer
    x = 271,093.65

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.