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Finding the Third Proportional to 55,637 and 123,712.75

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Solution

The third proportional to 55,637 and 123,712.75 is: 275,083.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,637 : 123,712.75 = 123,712.75 : x
  2. Step 2: Convert to fraction form
    55,637/123,712.75 = 123,712.75/x
  3. Step 3: Cross multiply
    55,637x = 123,712.75 × 123,712.75
  4. Step 4: Simplify right side
    55,637x = 15,304,844,512.56
  5. Step 5: Solve for x
    x = 15,304,844,512.56/55,637
  6. Step 6: Final answer
    x = 275,083.93

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.