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Finding the Third Proportional to 63,058 and 135,682

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Solution

The third proportional to 63,058 and 135,682 is: 291,947.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,058 : 135,682 = 135,682 : x
  2. Step 2: Convert to fraction form
    63,058/135,682 = 135,682/x
  3. Step 3: Cross multiply
    63,058x = 135,682 × 135,682
  4. Step 4: Simplify right side
    63,058x = 18,409,605,124
  5. Step 5: Solve for x
    x = 18,409,605,124/63,058
  6. Step 6: Final answer
    x = 291,947.18

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.