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Finding the Third Proportional to 63,706 and 138,692

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Solution

The third proportional to 63,706 and 138,692 is: 301,941.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,706 : 138,692 = 138,692 : x
  2. Step 2: Convert to fraction form
    63,706/138,692 = 138,692/x
  3. Step 3: Cross multiply
    63,706x = 138,692 × 138,692
  4. Step 4: Simplify right side
    63,706x = 19,235,470,864
  5. Step 5: Solve for x
    x = 19,235,470,864/63,706
  6. Step 6: Final answer
    x = 301,941.27

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.