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Finding the Third Proportional to 66,593.25 and 141,662.25

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Solution

The third proportional to 66,593.25 and 141,662.25 is: 301,354.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,593.25 : 141,662.25 = 141,662.25 : x
  2. Step 2: Convert to fraction form
    66,593.25/141,662.25 = 141,662.25/x
  3. Step 3: Cross multiply
    66,593.25x = 141,662.25 × 141,662.25
  4. Step 4: Simplify right side
    66,593.25x = 20,068,193,075.06
  5. Step 5: Solve for x
    x = 20,068,193,075.06/66,593.25
  6. Step 6: Final answer
    x = 301,354.76

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.