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Finding the Third Proportional to 52,710 and 125,991

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Solution

The third proportional to 52,710 and 125,991 is: 301,152.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,710 : 125,991 = 125,991 : x
  2. Step 2: Convert to fraction form
    52,710/125,991 = 125,991/x
  3. Step 3: Cross multiply
    52,710x = 125,991 × 125,991
  4. Step 4: Simplify right side
    52,710x = 15,873,732,081
  5. Step 5: Solve for x
    x = 15,873,732,081/52,710
  6. Step 6: Final answer
    x = 301,152.19

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Why These Related Problems?

These problems maintain the same ratio (2.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.