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Finding the Third Proportional to 55,961 and 84,481

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Solution

The third proportional to 55,961 and 84,481 is: 127,535.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,961 : 84,481 = 84,481 : x
  2. Step 2: Convert to fraction form
    55,961/84,481 = 84,481/x
  3. Step 3: Cross multiply
    55,961x = 84,481 × 84,481
  4. Step 4: Simplify right side
    55,961x = 7,137,039,361
  5. Step 5: Solve for x
    x = 7,137,039,361/55,961
  6. Step 6: Final answer
    x = 127,535.95

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.