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Finding the Third Proportional to 61,788 and 125,760

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Solution

The third proportional to 61,788 and 125,760 is: 255,965.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,788 : 125,760 = 125,760 : x
  2. Step 2: Convert to fraction form
    61,788/125,760 = 125,760/x
  3. Step 3: Cross multiply
    61,788x = 125,760 × 125,760
  4. Step 4: Simplify right side
    61,788x = 15,815,577,600
  5. Step 5: Solve for x
    x = 15,815,577,600/61,788
  6. Step 6: Final answer
    x = 255,965.20

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.