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Finding the Third Proportional to 63,505 and 137,954

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Solution

The third proportional to 63,505 and 137,954 is: 299,682.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,505 : 137,954 = 137,954 : x
  2. Step 2: Convert to fraction form
    63,505/137,954 = 137,954/x
  3. Step 3: Cross multiply
    63,505x = 137,954 × 137,954
  4. Step 4: Simplify right side
    63,505x = 19,031,306,116
  5. Step 5: Solve for x
    x = 19,031,306,116/63,505
  6. Step 6: Final answer
    x = 299,682.01

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.