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Finding the Third Proportional to 65,706 and 148,956

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Solution

The third proportional to 65,706 and 148,956 is: 337,684.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,706 : 148,956 = 148,956 : x
  2. Step 2: Convert to fraction form
    65,706/148,956 = 148,956/x
  3. Step 3: Cross multiply
    65,706x = 148,956 × 148,956
  4. Step 4: Simplify right side
    65,706x = 22,187,889,936
  5. Step 5: Solve for x
    x = 22,187,889,936/65,706
  6. Step 6: Final answer
    x = 337,684.38

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Why These Related Problems?

These problems maintain the same ratio (2.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.