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Finding the Third Proportional to 65,837.81 and 146,415.09

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Solution

The third proportional to 65,837.81 and 146,415.09 is: 325,608.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,837.81 : 146,415.09 = 146,415.09 : x
  2. Step 2: Convert to fraction form
    65,837.81/146,415.09 = 146,415.09/x
  3. Step 3: Cross multiply
    65,837.81x = 146,415.09 × 146,415.09
  4. Step 4: Simplify right side
    65,837.81x = 21,437,379,677.82
  5. Step 5: Solve for x
    x = 21,437,379,677.82/65,837.81
  6. Step 6: Final answer
    x = 325,608.93

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.