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Finding the Third Proportional to 65,329.88 and 141,351.75

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Solution

The third proportional to 65,329.88 and 141,351.75 is: 305,837.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,329.88 : 141,351.75 = 141,351.75 : x
  2. Step 2: Convert to fraction form
    65,329.88/141,351.75 = 141,351.75/x
  3. Step 3: Cross multiply
    65,329.88x = 141,351.75 × 141,351.75
  4. Step 4: Simplify right side
    65,329.88x = 19,980,317,228.06
  5. Step 5: Solve for x
    x = 19,980,317,228.06/65,329.88
  6. Step 6: Final answer
    x = 305,837.37

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.