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Finding the Third Proportional to 72,694.50 and 154,192.50

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Solution

The third proportional to 72,694.50 and 154,192.50 is: 327,058.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,694.50 : 154,192.50 = 154,192.50 : x
  2. Step 2: Convert to fraction form
    72,694.50/154,192.50 = 154,192.50/x
  3. Step 3: Cross multiply
    72,694.50x = 154,192.50 × 154,192.50
  4. Step 4: Simplify right side
    72,694.50x = 23,775,327,056.25
  5. Step 5: Solve for x
    x = 23,775,327,056.25/72,694.50
  6. Step 6: Final answer
    x = 327,058.13

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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.