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Finding the Third Proportional to 72,292.50 and 159,165

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Solution

The third proportional to 72,292.50 and 159,165 is: 350,430.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,292.50 : 159,165 = 159,165 : x
  2. Step 2: Convert to fraction form
    72,292.50/159,165 = 159,165/x
  3. Step 3: Cross multiply
    72,292.50x = 159,165 × 159,165
  4. Step 4: Simplify right side
    72,292.50x = 25,333,497,225
  5. Step 5: Solve for x
    x = 25,333,497,225/72,292.50
  6. Step 6: Final answer
    x = 350,430.50

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Why These Related Problems?

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