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Finding the Third Proportional to 107,635 and 147,754

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Solution

The third proportional to 107,635 and 147,754 is: 202,826.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,635 : 147,754 = 147,754 : x
  2. Step 2: Convert to fraction form
    107,635/147,754 = 147,754/x
  3. Step 3: Cross multiply
    107,635x = 147,754 × 147,754
  4. Step 4: Simplify right side
    107,635x = 21,831,244,516
  5. Step 5: Solve for x
    x = 21,831,244,516/107,635
  6. Step 6: Final answer
    x = 202,826.63

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.