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Finding the Third Proportional to 65,692 and 148,921

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Solution

The third proportional to 65,692 and 148,921 is: 337,597.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,692 : 148,921 = 148,921 : x
  2. Step 2: Convert to fraction form
    65,692/148,921 = 148,921/x
  3. Step 3: Cross multiply
    65,692x = 148,921 × 148,921
  4. Step 4: Simplify right side
    65,692x = 22,177,464,241
  5. Step 5: Solve for x
    x = 22,177,464,241/65,692
  6. Step 6: Final answer
    x = 337,597.64

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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.