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Finding the Third Proportional to 65,403.07 and 133,579.76

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Solution

The third proportional to 65,403.07 and 133,579.76 is: 272,824.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,403.07 : 133,579.76 = 133,579.76 : x
  2. Step 2: Convert to fraction form
    65,403.07/133,579.76 = 133,579.76/x
  3. Step 3: Cross multiply
    65,403.07x = 133,579.76 × 133,579.76
  4. Step 4: Simplify right side
    65,403.07x = 17,843,551,697.25
  5. Step 5: Solve for x
    x = 17,843,551,697.25/65,403.07
  6. Step 6: Final answer
    x = 272,824.37

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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.