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Finding the Third Proportional to 72,324.88 and 148,173.13

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Solution

The third proportional to 72,324.88 and 148,173.13 is: 303,564.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,324.88 : 148,173.13 = 148,173.13 : x
  2. Step 2: Convert to fraction form
    72,324.88/148,173.13 = 148,173.13/x
  3. Step 3: Cross multiply
    72,324.88x = 148,173.13 × 148,173.13
  4. Step 4: Simplify right side
    72,324.88x = 21,955,274,972.27
  5. Step 5: Solve for x
    x = 21,955,274,972.27/72,324.88
  6. Step 6: Final answer
    x = 303,564.64

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.