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Finding the Third Proportional to 63,806 and 149,039

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Solution

The third proportional to 63,806 and 149,039 is: 348,127.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,806 : 149,039 = 149,039 : x
  2. Step 2: Convert to fraction form
    63,806/149,039 = 149,039/x
  3. Step 3: Cross multiply
    63,806x = 149,039 × 149,039
  4. Step 4: Simplify right side
    63,806x = 22,212,623,521
  5. Step 5: Solve for x
    x = 22,212,623,521/63,806
  6. Step 6: Final answer
    x = 348,127.50

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.