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Finding the Third Proportional to 72,510.19 and 159,301.69

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Solution

The third proportional to 72,510.19 and 159,301.69 is: 349,978.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,510.19 : 159,301.69 = 159,301.69 : x
  2. Step 2: Convert to fraction form
    72,510.19/159,301.69 = 159,301.69/x
  3. Step 3: Cross multiply
    72,510.19x = 159,301.69 × 159,301.69
  4. Step 4: Simplify right side
    72,510.19x = 25,377,027,640.35
  5. Step 5: Solve for x
    x = 25,377,027,640.35/72,510.19
  6. Step 6: Final answer
    x = 349,978.79

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.