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Finding the Third Proportional to 51,637 and 112,993

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Solution

The third proportional to 51,637 and 112,993 is: 247,253.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,637 : 112,993 = 112,993 : x
  2. Step 2: Convert to fraction form
    51,637/112,993 = 112,993/x
  3. Step 3: Cross multiply
    51,637x = 112,993 × 112,993
  4. Step 4: Simplify right side
    51,637x = 12,767,418,049
  5. Step 5: Solve for x
    x = 12,767,418,049/51,637
  6. Step 6: Final answer
    x = 247,253.29

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.