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Finding the Third Proportional to 65,644.31 and 133,695.56

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Solution

The third proportional to 65,644.31 and 133,695.56 is: 272,293.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,644.31 : 133,695.56 = 133,695.56 : x
  2. Step 2: Convert to fraction form
    65,644.31/133,695.56 = 133,695.56/x
  3. Step 3: Cross multiply
    65,644.31x = 133,695.56 × 133,695.56
  4. Step 4: Simplify right side
    65,644.31x = 17,874,503,432.19
  5. Step 5: Solve for x
    x = 17,874,503,432.19/65,644.31
  6. Step 6: Final answer
    x = 272,293.25

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.