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Finding the Third Proportional to 72,758.25 and 159,063.75

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Solution

The third proportional to 72,758.25 and 159,063.75 is: 347,744.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,758.25 : 159,063.75 = 159,063.75 : x
  2. Step 2: Convert to fraction form
    72,758.25/159,063.75 = 159,063.75/x
  3. Step 3: Cross multiply
    72,758.25x = 159,063.75 × 159,063.75
  4. Step 4: Simplify right side
    72,758.25x = 25,301,276,564.06
  5. Step 5: Solve for x
    x = 25,301,276,564.06/72,758.25
  6. Step 6: Final answer
    x = 347,744.44

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.