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Finding the Third Proportional to 134,722 and 293,096

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Solution

The third proportional to 134,722 and 293,096 is: 637,648.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,722 : 293,096 = 293,096 : x
  2. Step 2: Convert to fraction form
    134,722/293,096 = 293,096/x
  3. Step 3: Cross multiply
    134,722x = 293,096 × 293,096
  4. Step 4: Simplify right side
    134,722x = 85,905,265,216
  5. Step 5: Solve for x
    x = 85,905,265,216/134,722
  6. Step 6: Final answer
    x = 637,648.38

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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.