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Finding the Third Proportional to 133,096 and 292,001

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Solution

The third proportional to 133,096 and 292,001 is: 640,624.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,096 : 292,001 = 292,001 : x
  2. Step 2: Convert to fraction form
    133,096/292,001 = 292,001/x
  3. Step 3: Cross multiply
    133,096x = 292,001 × 292,001
  4. Step 4: Simplify right side
    133,096x = 85,264,584,001
  5. Step 5: Solve for x
    x = 85,264,584,001/133,096
  6. Step 6: Final answer
    x = 640,624.69

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.