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Finding the Third Proportional to 72,793.50 and 154,333.50

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Solution

The third proportional to 72,793.50 and 154,333.50 is: 327,210.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,793.50 : 154,333.50 = 154,333.50 : x
  2. Step 2: Convert to fraction form
    72,793.50/154,333.50 = 154,333.50/x
  3. Step 3: Cross multiply
    72,793.50x = 154,333.50 × 154,333.50
  4. Step 4: Simplify right side
    72,793.50x = 23,818,829,222.25
  5. Step 5: Solve for x
    x = 23,818,829,222.25/72,793.50
  6. Step 6: Final answer
    x = 327,210.94

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.