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Finding the Third Proportional to 102,795.19 and 154,192.50

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Solution

The third proportional to 102,795.19 and 154,192.50 is: 231,288.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,795.19 : 154,192.50 = 154,192.50 : x
  2. Step 2: Convert to fraction form
    102,795.19/154,192.50 = 154,192.50/x
  3. Step 3: Cross multiply
    102,795.19x = 154,192.50 × 154,192.50
  4. Step 4: Simplify right side
    102,795.19x = 23,775,327,056.25
  5. Step 5: Solve for x
    x = 23,775,327,056.25/102,795.19
  6. Step 6: Final answer
    x = 231,288.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.