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Finding the Third Proportional to 65,722 and 92,996

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Solution

The third proportional to 65,722 and 92,996 is: 131,588.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,722 : 92,996 = 92,996 : x
  2. Step 2: Convert to fraction form
    65,722/92,996 = 92,996/x
  3. Step 3: Cross multiply
    65,722x = 92,996 × 92,996
  4. Step 4: Simplify right side
    65,722x = 8,648,256,016
  5. Step 5: Solve for x
    x = 8,648,256,016/65,722
  6. Step 6: Final answer
    x = 131,588.45

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.