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Finding the Third Proportional to 61,035 and 125,991

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Solution

The third proportional to 61,035 and 125,991 is: 260,075.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,035 : 125,991 = 125,991 : x
  2. Step 2: Convert to fraction form
    61,035/125,991 = 125,991/x
  3. Step 3: Cross multiply
    61,035x = 125,991 × 125,991
  4. Step 4: Simplify right side
    61,035x = 15,873,732,081
  5. Step 5: Solve for x
    x = 15,873,732,081/61,035
  6. Step 6: Final answer
    x = 260,075.89

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.